{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# ALAD - Toy examples"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This is the notebook that generated Figure 2 in \"Adversarially learnt anomaly detection\"\n",
    "Credits : https://github.com/ChunyuanLI/ALICE"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Imports"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 142,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "\n",
    "import os\n",
    "import pdb"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 143,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib.cm as cm\n",
    "import tensorflow as tf\n",
    "from utils.data_gmm import GMM_distribution, sample_GMM, plot_GMM\n",
    "from utils.data_utils import shuffle, iter_data, ToyDataset\n",
    "from tqdm import tqdm\n",
    "import sklearn.datasets\n",
    "\n",
    "slim = tf.contrib.slim\n",
    "ds = tf.contrib.distributions\n",
    "graph_replace = tf.contrib.graph_editor.graph_replace"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Parameters"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 144,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "DATASET = '4gaussians' # 5gaussians, swiss_roll, s_curve\n",
    "N_NOISY = 100"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 145,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "\"\"\" parameters \"\"\"\n",
    "n_epoch = 300\n",
    "batch_size  = 1024\n",
    "dataset_size_x = 512*4\n",
    "dataset_size_z = 512*4\n",
    "\n",
    "dataset_size_x_test = 512*2\n",
    "dataset_size_z_test = 512*2\n",
    "\n",
    "input_dim = 2\n",
    "latent_dim = 2\n",
    "eps_dim = 2\n",
    "\n",
    "n_layer_disc  = 2\n",
    "n_hidden_disc = 256\n",
    "n_layer_gen   = 3\n",
    "n_hidden_gen  = 256\n",
    "n_layer_inf   = 2\n",
    "n_hidden_inf  = 256"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 146,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "\"\"\" Create directory for results \"\"\"\n",
    "result_dir = 'results/alad_toy/'\n",
    "directory = result_dir\n",
    "if not os.path.exists(directory):\n",
    "    os.makedirs(directory)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Training dataset"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 4 or 5 GMM"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 147,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "\"\"\" Create dataset \"\"\"\n",
    "\n",
    "def four_five_gaussians(p1=0):\n",
    "    # create X dataset\n",
    "    global dataset_size_x\n",
    "    means_x = map(lambda x:  np.array(x), [[2, 2],\n",
    "                                          [-2, -2],\n",
    "                                          [2, -2],\n",
    "                                          [-2, 2],\n",
    "                                           [0, 0]])\n",
    "    \n",
    "    means_x = list(means_x)\n",
    "    std_x = 0.02\n",
    "    variances_x = [np.eye(2) * std_x for _ in means_x]\n",
    "\n",
    "    #contamination = 4.0*p/(1-p)\n",
    "    priors_x = np.array([1.0, 1.0, 1.0, 1.0, p1])\n",
    "    priors_x /= sum(priors_x)\n",
    "    #print(priors_x)\n",
    "    gaussian_mixture = GMM_distribution(means=means_x,\n",
    "                                                   variances=variances_x,\n",
    "                                                   priors=priors_x)\n",
    "    dataset_x = sample_GMM(dataset_size_x, means_x, variances_x, priors_x, sources=('features', ))\n",
    "    return dataset_x"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "You can control the level of the fifth gaussian in the training set with the $p$ parameter"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Generate training dataset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 148,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "dataset_x = four_five_gaussians(p1=0)\n",
    "save_path_x = result_dir + 'X_4gmm_data_train.png'\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 149,
   "metadata": {},
   "outputs": [
    {
     "data": {
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tPX1MD5/hwHceZXDPrbieR/fAFtq6uhv07NR6U/EDJvNVOlMemcSlP8Yjc2WypRrGgOvY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\nSUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 324x324 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "## input x\n",
    "X_dataset  = dataset_x.data['samples']\n",
    "X_targets = dataset_x.data['label']\n",
    "\n",
    "fig_mx, ax = plt.subplots(nrows=1, ncols=1, figsize=(4.5, 4.5))\n",
    "ax.scatter(X_dataset[:, 0], X_dataset[:, 1], c=cm.tab20(X_targets.astype(float)/input_dim/3.0),\n",
    "           edgecolor='none', alpha=0.5)\n",
    "#ax.set_xlim(-3, 3); ax.set_ylim(-3.5, 3.5)\n",
    "ax.set_xlabel('$x_1$'); ax.set_ylabel('$x_2$')\n",
    "ax.set_title(\"X distribution in the training set\" )\n",
    "ax.axis('on')\n",
    "plt.savefig(save_path_x, transparent=True, bbox_inches='tight')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 150,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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tF8tx19TT39GT4N3plRn4W7vjaJpgap0u5NOl5nXfSI4Lhu1wdLLUjm31pyNk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y2khkqkvGGr54mEcyLJdKyW5+REiXOzVb7w9Al+49tL2dG7o4A3N7qYyeduDvxMfw5EkGB36LPc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\nw5bHCWQODg5bnv8fAJwDmHKCJp8AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 324x324 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# create Z dataset\n",
    "means_z = map(lambda x:  np.array(x), [[0, 0]])\n",
    "means_z = list(means_z)\n",
    "std_z = 1.0\n",
    "variances_z = [np.eye(2) * std_z for _ in means_z]\n",
    "priors_z = [1.0/len(means_z) for _ in means_z]\n",
    "\n",
    "dataset_z = sample_GMM(dataset_size_z, means_z, variances_z, priors_z, sources=('features', ))\n",
    "save_path_z = result_dir + 'Z_gmm_data_train.png'\n",
    "\n",
    "##  input z\n",
    "Z_dataset = dataset_z.data['samples']\n",
    "Z_labels  = dataset_z.data['label']\n",
    "\n",
    "fig_mx, ax = plt.subplots(nrows=1, ncols=1, figsize=(4.5, 4.5))\n",
    "ax.scatter(Z_dataset[:, 0], Z_dataset[:, 1],\n",
    "           edgecolor='none', alpha=0.5)\n",
    "ax.set_xlim(-3, 3); ax.set_ylim(-3.5, 3.5)\n",
    "ax.set_xlabel('$z_1$'); ax.set_ylabel('$z_2$')\n",
    "ax.set_title(\"Z distribution in the training set\")\n",
    "ax.axis('on')\n",
    "plt.savefig(save_path_z, transparent=True, bbox_inches='tight')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Network"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 151,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "\"\"\" Networks \"\"\"\n",
    "\n",
    "def generative_network(z, input_dim, n_layer, n_hidden, eps_dim, reuse=False):\n",
    "    with tf.variable_scope(\"generative\", reuse=reuse):\n",
    "        h = slim.stack(z, slim.fully_connected, [n_hidden] * n_layer, activation_fn=tf.nn.relu)\n",
    "        x = slim.fully_connected(h, input_dim, activation_fn=None)\n",
    "    return x\n",
    "\n",
    "\n",
    "def inference_network(x, latent_dim, n_layer, n_hidden, eps_dim, reuse=False):\n",
    "    with tf.variable_scope(\"inference\", reuse=reuse):\n",
    "        h = slim.stack(x, slim.fully_connected, [n_hidden] * n_layer, activation_fn=tf.nn.relu)\n",
    "        z = slim.fully_connected(h, latent_dim, activation_fn=None)      \n",
    "    return z\n",
    "\n",
    "def data_network_xz(x, z, n_layers=2, n_hidden=128, activation_fn=None,reuse=False):\n",
    "    \"\"\"Approximate x log data density.\"\"\"\n",
    "    h = tf.concat([x,z], 1)\n",
    "    with tf.variable_scope('discriminator', reuse=reuse):\n",
    "        h = slim.stack(h, slim.fully_connected, [n_hidden] * n_layers, activation_fn=tf.nn.relu)\n",
    "        log_d = slim.fully_connected(h, 1, activation_fn=None)\n",
    "    return tf.squeeze(log_d, squeeze_dims=[1])\n",
    "\n",
    "def data_network_xx(x,x_hat, n_layers=1, n_hidden=128, activation_fn=None, reuse=False):\n",
    "    \"\"\"Approximate x log data density.\"\"\"\n",
    "    # pdb.set_trace()\n",
    "    h = tf.concat([x,x_hat], 1)\n",
    "    with tf.variable_scope('discriminator_xx', reuse=reuse):\n",
    "        h = slim.stack(h, slim.fully_connected, [n_hidden] * n_layers, activation_fn=tf.nn.relu)\n",
    "        log_d = slim.fully_connected(h, 1, activation_fn=activation_fn)\n",
    "    return tf.squeeze(log_d, squeeze_dims=[1])\n",
    "\n",
    "def data_network_zz(z, z_prime, n_layers=1, n_hidden=128, activation_fn=None, reuse=False):\n",
    "    \"\"\"Approximate x log data density.\"\"\"\n",
    "    # pdb.set_trace()\n",
    "    h = tf.concat([z, z_prime], 1)\n",
    "    with tf.variable_scope('discriminator_zz', reuse=reuse):\n",
    "        h = slim.stack(h, slim.fully_connected, [n_hidden] * n_layers, activation_fn=tf.nn.relu)\n",
    "        log_d = slim.fully_connected(h, 1, activation_fn=activation_fn)\n",
    "    return tf.squeeze(log_d, squeeze_dims=[1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 152,
   "metadata": {},
   "outputs": [],
   "source": [
    "\"\"\" Construct model and training ops \"\"\"\n",
    "tf.reset_default_graph()\n",
    "\n",
    "x = tf.placeholder(tf.float32, shape=(None, input_dim))\n",
    "z = tf.placeholder(tf.float32, shape=(None, latent_dim))\n",
    "\n",
    "# decoder and encoder\n",
    "p_x = generative_network(z, input_dim , n_layer_gen, n_hidden_gen, eps_dim)\n",
    "q_z = inference_network(x, latent_dim, n_layer_inf, n_hidden_inf, eps_dim)\n",
    "\n",
    "decoder_logit = data_network_xz(p_x, z, n_layers=n_layer_disc, n_hidden=n_hidden_disc)\n",
    "encoder_logit = graph_replace(decoder_logit, {p_x: x, z:q_z})\n",
    "\n",
    "decoder_loss = tf.nn.sigmoid_cross_entropy_with_logits(labels = tf.zeros_like(decoder_logit), logits=decoder_logit)\n",
    "encoder_loss = tf.nn.sigmoid_cross_entropy_with_logits(labels = tf.ones_like(encoder_logit), logits=encoder_logit)\n",
    "\n",
    "dis_loss_xz = tf.reduce_mean(encoder_loss) + tf.reduce_mean(decoder_loss)\n",
    "\n",
    "rec_z = inference_network(p_x, latent_dim, n_layer_inf, n_hidden_inf, eps_dim, reuse=True)\n",
    "rec_x = generative_network(q_z, input_dim , n_layer_gen, n_hidden_gen,  eps_dim, reuse=True)\n",
    "\n",
    "x_logit_real = data_network_xx(x, x)\n",
    "x_logit_fake = data_network_xx(x, rec_x, reuse=True)\n",
    "z_logit_real = data_network_zz(z, z)\n",
    "z_logit_fake = data_network_zz(z, rec_z,  reuse=True)\n",
    "\n",
    "x_sigmoid_real = tf.nn.sigmoid_cross_entropy_with_logits(logits=x_logit_real, labels=tf.ones_like(x_logit_real))\n",
    "x_sigmoid_fake = tf.nn.sigmoid_cross_entropy_with_logits(logits=x_logit_fake, labels=tf.zeros_like(x_logit_fake))\n",
    "\n",
    "z_sigmoid_real = tf.nn.sigmoid_cross_entropy_with_logits(logits=z_logit_real, labels=tf.ones_like(z_logit_real))\n",
    "z_sigmoid_fake = tf.nn.sigmoid_cross_entropy_with_logits(logits=z_logit_fake, labels=tf.zeros_like(z_logit_fake))\n",
    "\n",
    "x_sigmoid_real2 = tf.nn.sigmoid_cross_entropy_with_logits(logits=x_logit_real, labels=tf.zeros_like(x_logit_real))\n",
    "x_sigmoid_fake2 = tf.nn.sigmoid_cross_entropy_with_logits(logits=x_logit_fake, labels=tf.ones_like(x_logit_fake))\n",
    "\n",
    "z_sigmoid_real2 = tf.nn.sigmoid_cross_entropy_with_logits(logits=z_logit_real, labels=tf.zeros_like(z_logit_real))\n",
    "z_sigmoid_fake2 = tf.nn.sigmoid_cross_entropy_with_logits(logits=z_logit_fake, labels=tf.ones_like(z_logit_fake))\n",
    "\n",
    "\n",
    "dis_loss_x = tf.reduce_mean(x_sigmoid_real + x_sigmoid_fake)\n",
    "dis_loss_z = tf.reduce_mean(z_sigmoid_real + z_sigmoid_fake)\n",
    "disc_loss = dis_loss_xz + dis_loss_x + dis_loss_z\n",
    "\n",
    "cost_x = tf.reduce_mean(x_sigmoid_real2 + x_sigmoid_fake2) # + tf.reduce_mean(tf.pow(x_feature_real - x_feature_fake, 2))\n",
    "cost_z = tf.reduce_mean(z_sigmoid_real2 + z_sigmoid_fake2) # + tf.reduce_mean(tf.pow(z_feature_real - z_feature_fake, 2))\n",
    "\n",
    "\n",
    "decoder_loss2 = tf.nn.sigmoid_cross_entropy_with_logits(labels = tf.ones_like(decoder_logit), logits=decoder_logit)\n",
    "encoder_loss2 = tf.nn.sigmoid_cross_entropy_with_logits(labels = tf.zeros_like(encoder_logit), logits=encoder_logit)\n",
    "\n",
    "gen_loss_xz = tf.reduce_mean(decoder_loss2)  + tf.reduce_mean(encoder_loss2)\n",
    "\n",
    "gen_loss = gen_loss_xz + cost_x  + cost_z\n",
    "\n",
    "qvars = tf.get_collection(tf.GraphKeys.TRAINABLE_VARIABLES, \"inference\")\n",
    "pvars = tf.get_collection(tf.GraphKeys.TRAINABLE_VARIABLES, \"generative\")\n",
    "dvars = tf.get_collection(tf.GraphKeys.TRAINABLE_VARIABLES, \"discriminator\")\n",
    "dvars_xx = tf.get_collection(tf.GraphKeys.TRAINABLE_VARIABLES, \"discriminator_xx\")\n",
    "dvars_zz = tf.get_collection(tf.GraphKeys.TRAINABLE_VARIABLES, \"discriminator_zz\")\n",
    "\n",
    "opt = tf.train.AdamOptimizer(1e-3, beta1=0.5)\n",
    "train_gen_op =  opt.minimize(gen_loss, var_list=qvars + pvars)\n",
    "train_disc_op = opt.minimize(disc_loss, var_list=dvars + dvars_xx)\n",
    "\n",
    "mahalanobis_dis_z = tf.norm(q_z, ord=2, axis=1, keep_dims=False, name='z_scores')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Training"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 112,
   "metadata": {
    "scrolled": true
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   "outputs": [
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     "text": [
      "\r",
      " 98%|█████████▊| 293/300 [07:26<00:11,  1.58s/it]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "epoch 292 iter 2: discloss 4.078953 genloss 4.245849 adv_x 1.410381 recons_x 1.389579 \n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      " 98%|█████████▊| 294/300 [07:27<00:09,  1.58s/it]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "epoch 293 iter 2: discloss 4.053638 genloss 4.244790 adv_x 1.415659 recons_x 1.385425 \n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      " 98%|█████████▊| 295/300 [07:29<00:07,  1.56s/it]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "epoch 294 iter 2: discloss 4.073757 genloss 4.267544 adv_x 1.428287 recons_x 1.389325 \n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      " 99%|█████████▊| 296/300 [07:30<00:06,  1.55s/it]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "epoch 295 iter 2: discloss 4.086186 genloss 4.247549 adv_x 1.417965 recons_x 1.391761 \n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      " 99%|█████████▉| 297/300 [07:32<00:04,  1.55s/it]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "epoch 296 iter 2: discloss 4.072352 genloss 4.304792 adv_x 1.425548 recons_x 1.393713 \n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      " 99%|█████████▉| 298/300 [07:33<00:03,  1.56s/it]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "epoch 297 iter 2: discloss 4.109787 genloss 4.249367 adv_x 1.368234 recons_x 1.397865 \n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "100%|█████████▉| 299/300 [07:35<00:01,  1.57s/it]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "epoch 298 iter 2: discloss 4.060061 genloss 4.268820 adv_x 1.429680 recons_x 1.387349 \n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "100%|██████████| 300/300 [07:36<00:00,  1.58s/it]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "epoch 299 iter 2: discloss 4.059240 genloss 4.243117 adv_x 1.405190 recons_x 1.386445 \n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    }
   ],
   "source": [
    "\"\"\" training \"\"\"\n",
    "config = tf.ConfigProto()\n",
    "config.gpu_options.per_process_gpu_memory_fraction = 0.1\n",
    "sess = tf.Session(config=config)\n",
    "sess.run(tf.global_variables_initializer())\n",
    "\n",
    "\n",
    "FG = []\n",
    "FD = []\n",
    "\n",
    "for epoch in tqdm( range(n_epoch), total=n_epoch):\n",
    "    X_dataset= shuffle(X_dataset)\n",
    "    Z_dataset= shuffle(Z_dataset)\n",
    "    i = 0\n",
    "    for xmb, zmb in iter_data(X_dataset, Z_dataset, size=batch_size):\n",
    "        i = i + 1\n",
    "        for _ in range(1):\n",
    "            f_d, _ = sess.run([disc_loss, train_disc_op], feed_dict={x: xmb, z:zmb})\n",
    "        for _ in range(5):\n",
    "            f_g, _ = sess.run([[gen_loss, gen_loss_xz, cost_x], train_gen_op], feed_dict={x: xmb, z:zmb})\n",
    "\n",
    "        FG.append(f_g)\n",
    "        FD.append(f_d)\n",
    "\n",
    "    print(\"epoch %d iter %d: discloss %f genloss %f adv_x %f recons_x %f \" % (epoch, i, f_d, f_g[0], f_g[1], f_g[2]))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Test dataset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 113,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "datasetX_test = four_five_gaussians(p1=0)\n",
    "save_path_x = result_dir + 'X_4gmm_data_test.png'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 114,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# create X dataset\n",
    "\n",
    "X_np_data_test = datasetX_test.data['samples']\n",
    "X_targets_test = datasetX_test.data['label']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 115,
   "metadata": {},
   "outputs": [],
   "source": [
    "\n",
    "X_np_outliers = np.random.uniform(low=X_np_data_test.min(), high=X_np_data_test.max(), size=(N_NOISY,2))#outlier testing size 20\\n\"\n",
    "X_outliers_target = [15]* X_np_outliers.shape[0]\n",
    "X_np_data_test = np.concatenate([X_np_data_test, X_np_outliers], axis=0)\n",
    "X_targets_test = np.concatenate([X_targets_test, X_outliers_target], axis=0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Selecting inliers and outliers"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 116,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "idx_inliers = X_targets_test <4 \n",
    "idx_outliers = np.logical_not(idx_inliers)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Plotting final (cleaned) test dataset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 117,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 432x288 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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XjnEsY2DYXtlLqInphDSVpbUxauIhLMcja/qu+NolVaxpqmZVQwKAhK6xPBlFnUDXUgjx\nvJTylD9IMCMDXu17le2d29GExuYFm/nl3l/SZ/TheA5SStJmmtt238Yjhx6hI9Phz8CKSCnx8LC9\n48Jy1srieR4RLUJbuo2HDz3Mu1e8m6SucV51vOKHrg7rJEPahP74AXOTZNGQtKYL7OnPArAgEuJI\nT57urIkQgmRY49n9vXw7b/NqVxrLlayen2B/d5aMYZMzXdwhc5venE1Ed9EUQdZ0yFsu85JhhICI\nonBswGB+KkxVVKcpEZm283hOGzJPSv5w4EHu2XcPrvSnzs90bufA4IGymO9KF9dzsbA4lD5EwSmQ\nttMIBAoKLv7rBAJZ/M/yLFzbxcyY2J6N67lcsOACFsQXjPpDB0ZsZvD4449P9xDOmLimogjKxqi7\nv4CUfniFEOBJeKljkBcODWA6HlJK9nQMsqwuRl/OrjBiABIo2B7dWZP+ossZC6lsaKwmFFbJOg67\nOwapT4SxTJcF4RA7Dw2Qsxya6+NsaapFVydfip+zhqzHsDiY6eeJw09hezaO51AbW44ikmSt7TjS\nQkHBK/4HkHNy5ddLZNmIKSgoQikbQzhuAE3XpDvfzcMHH+ba866d2g8ZMKfwpORg1sCVkpSu8eKR\nQVoyBXpyBqbloWkKhu2SLjgVOlbWdHnlaIaThTIWbP9JBWjvz9PUECdKiN4+E93xsGtjdKUNXFui\nmP6+x9ImPVmLd7/uzEKAxsKcXbXUFYV+M4dQG+nO9yJFFarawLF8Jx4uEomDUzZiJ8PDv7PJIaeH\nQOBIh/5CP2krzcMHH+apw09N5kcKmOMczhkMWDaLYxEKGZuDHRkUBZYuSpI2bbrTBlnDGVWMH2s8\ntgcULJeXO9O0HEmzp7WPQ70FdrT2sffAAP25yqDw1mNZBvP26AebQObkjCxjZejOdaF4PQglxJr5\n70ACXZlW9vY8ho7G6cbEy2GnR8nNdKSD4zh05jr52Z6fcTR/lCtXXElEG7lyFBBwJtSHQ8Q0lXmR\nEH/q7uYv7YN05UxM18N1QSKQZxrqA9iupKMnT8+ASTysETEd4mGN1iMZbNOlrrEyGNxwXKqY3Gq2\nc86Q7Tq2i2c6n0FKSWt/Kxk3ia6lkFLyau/TeNLFwhthmE7F0JlbSS8D38U8ZhwjGU7ieA4vHnuR\nHqOHplQT9dF61tevJ6JFijM6KvItSyvKQf2pAPDPB9Px8DyJN4pBiutqeTU8U7DJGA79aZOC7XsY\nrseEhEZ4gOVKHM/BcjzShk1NTEdVlBEhRKmozvxkePQDTSBzyrUcNAd55sgzxRPCpM/0CGlVeJ6D\nJz3WzHszmhI6bSM2HIlEcPwHVRUVKSU9hR4OZQ+xo3MHBwYPsOPoDu5puQfHc2jPmezPVAYTWp7E\n8uS0Ju7ee++9CCGmJcBzKIlEYlrff6Joa2tj3bp1p/0615P05iwGCzYZ0yFrOewZJbC1xMKqKIrw\nU48sx0PKiTFiJTzpu6MFxyNruhxLG2QM21/Fl8dDN67csHBKbsRzypB15jrLRmrAhvrEGrpzbTx9\n+D/4S/fDRPUqzp33FlRx5tNgiUQRCrrQ0RTNvyNKF9MxUZXj8WL9Rj+tA63EdZWM7bI/U8D1/Aht\nV0oUcfIZmZSSroKFMUTkkFJytGBinUkiepE777yTiy++mDvvvPOMjxUwfvKWU5kBIuHJ17o50J3l\nlaNp8lZlyaQ1C5OsW1xFQyqCqggmwKMcQemQAv8cTUQ0QLClqZbrL2riuouamJ+aGgllThmyqtDx\ndJOc1Udv/gAv9zwOSAaMI7za8zhZqwdXTow4KaVEVVQc1yGshEnqSRSh0BBrqNgvY2WoDessS0TI\n2A4v9WfwpERXBLpy8p/IkZJjhkVLOo/h+osOHXmTzrxJn3VmnyObzfL0009z6623ltORwA9TuOyy\ny/jbv/1b1qxZwzXXXFOeNT7yyCNs2rSJ9evX89GPfhTT9MXfpqYm/uEf/oGNGzeyefNmXnjhBa64\n4gpWrFhRrl6RzWa5/PLLOf/881m/fj333XffqN/pl7/8ZdatW8f69evLKUWPP/44f/VXf1Xe79Of\n/nQ5TelrX/sa5513Hhs2bOBLX/rSiGM+8cQTbNy4kY0bN7Jp0yYymcwJx9LW1saaNWu4/vrrWb16\nNddccw0PP/wwW7duZdWqVTz77LMA3HjjjXzoQx/ijW98I6tWreKnP/3piPd1XZcvf/nLbNmyhQ0b\nNvCTn/wEgM7OTi655BI2btzIunXreOqpp7BHuSk9f7CfO/58iD/sPsrPnjrAK0eP1w5bVBVlUVUU\nx3UxbXdSo+0FgBDEdJV0wfZdzXhoSiWROaWRLUwsZElyCYczhwmrHq/1Po0com0NGEcYMI5M2Pv5\nuoRLSAvh4SEUwYrqFSyML6zYb0lyCQA1IY2h/eG1MZwIuqKwMhmlJVOgJZ0nqiqkbYf5kRANkdAZ\njf++++7j7W9/O6tXr6auro7nn3+e17/+9QDs3LmTv/zlLyxatIitW7fyxz/+kc2bN3P99dfzyCOP\nsHr1aj784Q/z4x//mM997nMALF26lF27dvH5z3+e66+/nj/+8Y8YhsG6dev45Cc/SSQS4Z577iGV\nStHT08Mb3vAG3v3ud1dcEHfffTe7du3ixRdfpKenhy1btnDJJZec8DP09vZyzz338MorryCEGFHN\nAo6X4Nm6dSvZbLacED7aWABaWlr4zW9+w2233caWLVv4z//8T55++ml+97vf8Z3vfId7770XgJde\neont27eTy+XYtGnTiLSpW2+9laqqKnbs2IFpmmzdupW3ve1t3H333VxxxRX84z/+I67rks/nkYqC\n7Q4J7/EkedslrCvlx4++cozl9QlCmsJ//eUoezvTdPQXKDiTL01Yjkdrdw4hBP+x/SB9OYvl9Qku\naK4lpE3+fOmsn5EN15fe2fxOLmm8lEsWX4KuTH5fQFe6xLU4uqJTG67FlS79Zj/gT8c3N2ymId6A\nLMYAAUSKJXBMzxuTPhbVVFYmo9ieR9p2SOkai2LhM74j3nnnnXzwg34Vjw9+8IMV7uUFF1xAY2Mj\niqKwceNG2traePXVV2lubmb16tUAXHfddTz55JPl15QMwfr167nwwgtJJpPMmzePcDjMwMAAUkq+\n/vWvs2HDBt7ylrfQ0dFBV1dXxZiefvpprr76alRVpaGhgUsvvZQdO3ac8DNUVVURiUT42Mc+xt13\n300sFhuxT6kEz80338zAwACapp10LM3Nzaxfv76cV3n55ZcjhKgoSwTwnve8h2g0Sn19Pdu2bSvP\n1ko89NBD/OIXv2Djxo1ceOGF9Pb2sm/fPrZs2cLtt9/OjTfeyO7du0kmk8TCfqBrCU9KltRE0YbM\n2E3boydr0p+z2N0xyHNtfWTNiakWfDI8fEMiJeUA2+fb+rnr+cN864G9PNfWN+qMciI5q2dkUkoO\n5QwiqkJD1F85EUIhHl7O+fGV1Ed/xoA5gCMnrySzi0veyZMIJcpR/gk9wbq6dZzfcD6JkC9iH8oZ\n9Fs2i2JhGqJh/nLE1zVMzyOsKKfUyXrN425kwfUwPUlEHb8h6+vr49FHH2X37t0IIXBdFyEE3/ve\n94DKsjiqqo6prPXQ0jnDy+o4jsMdd9xBd3c3zz//PLqu09TUNOa2Z5qm4XnHL5bS6zRN49lnn+WR\nRx7hrrvu4kc/+hGPPvpoxWtHK8Gzfft2uru7eebZHcTCIZqbmzEMA09KQuFwuVzNmZQEklLywx/+\nkCuuuGLE53nyySd54IEHuP766/nCF77Ahz/8YeriYQzbxZOSqK6ysKpyNVARgqqoTk/W5FjGxHa9\niuoUk0k8rOHJ4wtTz7b1srQ2TuegwcN6F229ef729ZNXo23aZ2RCiCVCiMeEEHuFEH8RQnx2Io9v\nuy5/7HyVf9/9/7jp+R/wm31P0G0UyNg5lqSWkNAnfzUsY2fwPA9FKMT0GCE1RI/RUzZi4BddXBSL\nlA2uIgQhRaCKkTWfhlLSxLoNi/mREGuq4kgoa2bj5a677uJDH/oQBw8epK2tjcOHD9Pc3MxTT504\nqPecc86hra2NlpYWAH75y19y6aWXjvk9BwcHmT9/Prqu89hjj3Hw4MER+7zpTW/i17/+Na7r0t3d\nzZNPPskFF1zAsmXL2Lt3L6ZpMjAwwCOPPAJQLu/zzne+k5tuuokXX3xxxDFHK8EzODhI/bx5CE3j\noUce5eDBg3jSr+orGdsK4H333YdhGPT29vL444+PqOpxxRVX8OMf/7hcAPK1114jl8tx8OBBGhoa\n+PjHP84NN9zACy+8APgrkLGwRiKiE9FVoqHKOnabllYTD2s0pCJ4UhLWVawpcCsBTMctL0y5nizP\nzgAcT3K4L0/HQGHS3n8mzMgc4ItSyheEEEngeSHEf0sp957qhadCCMGB/u0czQ7Sb3nYbh2D/Ydp\n7d/LVaveSlWoqmIFcTLpN/uJ5COkwin6jD7ydh5P+sYNoDo00s3VTiH0gy/2D1i+JlZyJ0uaWdpy\niETHp5PdeeedfPWrX63Y9r73vY8777yTD3zgA6O+JhKJcPvtt3PVVVfhOA5btmzhk5/85Jjf85pr\nruHKK69k/fr1bN68edTChH/913/NM888w+te9zqEEHz3u99lwYIFALz//e9n3bp1NDc3s2nTJgAy\nmQzvec97MAwDKWW5/PZQRivBk8lkuPLKK7lg00Y2nf96zlmzpmzEFBhTf4UNGzawbds2enp6+MY3\nvsGiRYsqXM8bbriBtrY2zj//fKSUzJs3j3vvvZfHH3+c733ve+i6TiKRqCjFXUJRBNdcuJQ9Hf6K\nZVN9nBXz/BujaXssq43x0N6uKSupYzgSx3NRFVE0YtCVNllUHSVWNLhZY/I8nxlXxkcIcR/wIynl\nf59on7GW8XE8h5/u/imHBg8TDvslT1zPoju7g7V1a+nIdvBc13N05btOcaQzR0VFVVSqw9UkQgka\nog1csPACrj73auL6yEqup1PGx/Y8tGEzN9vzTrniGTB6RdPh2yzXwyleJ+FRgj5H48YbbySRSIy6\nSjoRnOj8eOzVY+w61M8fW3rZ0z6AMTwLfBIRgK4KGpJhXAkhTaEhFeHC5lo0VeFjFzcTD5/e3GlW\nlvERQjQBm4A/j/LcJ4BPgL/6NeZjIlC140mrqhIioi9kV/cuwmqYkHJmK3tjxcXF8zxyds4v+SPh\nT0f+hOVZvP+c91MfrR/3sUczWIEROzWulJiuR0gR5dmv40msoi7px1/JCp3JkRJFzsxsi4O9OXYV\nq1pkDPu00+zOFAloqiAR1XBdykbLcj3evm7haRux02HGGDIhRAL4LfA5KeWIZnpSyn8H/h38GdlY\njqkKlcWp8xl0DtGRfomM2U5NbA2x8BLyTp6ewgHy9tQ2IHU9Fz2kY7gGrnTJ23meO/ocb29++5SO\nYy5TFuoBRfgZFP7am8DyPERxu1c0dLYniWoKSLBlMdsCCCnKiJSykoErNTKeyhr2h/r8c1lXFEKq\nmNhQ/jFiOx550yWiq6iK4NyFST6ytZmGSQ6MnRG3bSGEjm/E7pBS3j2Rx15Xdx6rqmoxnS50RSNd\n2EfW7MR08rQNtjFgjYwrmkyEENiujUSiKzpRLUqv0TvqvjPN7T8bcDyJ4Xp4RQMTLs7E8o6H6fpG\nLKL6q8T+KhxoisD2JIoi0ITAdIt5i0MD7aXE9LyK6PuSIZzolcMTnReaIujOmGRNh5UNSaZj0igl\nZE2HrOnQOVhAQUy6EYMZMCMT/u3qVuBlKeVIJfbMjk1TMk5z6s1cvHAdjx5+lGc7n+WV3j9iuRam\na46pTM+EjaeYfymRxLQY59SegxBiRKQ/+MJ5b28vdXV1M9KNma0I/ImK6XqEVQVvSG4gUNEZSFMU\nFOE/Z7peufeoKgRhtVIrk/gXsSk9wigI4b9Glp6coJ9QSklvb++ILk7PtfXxu12dtHZnANBVZaLe\n8rSIhjRiYQ1NCFJRnVhY41jGYH5yco3ZtBsyYCvwIWC3EGJXcdvXpZQPTsTBhRD0FHq4f//9mK5J\n1s7Sb/b7ZayneO5dCr+Ia3Gaq5pRhEJCT7BlwchmG42NjbS3t9Pd3T2lY5wLeFL64n0xkVoCpZC7\n0gxs+KqkN6RDkSrEqIK/LB63bBeFn50x7g7yJyASiVT0zdx7ZJCbHn4Nx5V4EhzXozdrlVdYp+pW\nrQoIaYKFqQiKEKxuSKIqgr6Ns1nIAAAgAElEQVScdfYbMinl00zY/Wp0njnyTLllW0yLIfDdu6lC\nIAgrYVRVZWXVStbOW8ugOYjlWry16a3lLktD0XWd5ubmKRvjXONw1uBIwaDPdFgSj7CmKo4QsD9T\nIGu7rEhGSYX8y8PxJC2ZPJZTLGsuBM2pGPFRmioXHJdXBv1KwgujYRbEJreEjetJfv9SJ05xddJf\noBB4+EZNVcSoJX8mGoG/SlmfCNFYE6MuESIW0hACFqYmv+v6jNDIJptj+WPlfy9KLCKk+gmtpRiu\noYhJsKnzI/NZkFjA2tq1bGrYRFgNMz82n6pwFXt69kz4+wWcnD7Tpse0CQmFWNEYSSSqECxPRpkf\n0ct1vUpGzHA8lidjrK1OoApBazpPzqlcFyy19yvRZVhk7cmLnQLoz1sj+kgqQuC4HmFNmTKdTFcF\nyYjG+sXVLKmNlY3YG5fXURWb/FTAaZ+RTQV10TqOZP1k8EQowfr69Wzv3A6AdGVZJyvV3i+VrT5T\n/Uwg0BWdS5ZcwpuXvpkXu18coXdlrMwZvUfA6dFn2uX+i8uTUQqOS2umwL50gVXFfpCL48fdoJL8\n0JyMUlWcoa1KxdifKVSI7rbn0ZIuYHkeK1MxIqpCS7pAa6bAimSUhD45l1oirJEIayyoinB00Dei\nqiJYXBMjFbE5OmhSsB0Me+wZCadLqfpFQzLM321bia4qDBZsFldHqYlPTXjTnDBkb1j4Bu5vvb/c\nsm1t/VoWJRaxu2c3x3LHykncISWEqqgoKBScAoY3tjy/EyHxc8+O5I7wYveLxPU4eacy3KMxMXn5\nZwEjiagKVSGNZcXWZQldY0UySo9hj9rNSlcUzknFKm5AIVXhnKrKbQJ/RbMxGSVZNForU1EOZAqT\nulgT0VW2NNViu5KqqM5A3iIR1vkflzaz6/Ag9+zsIG+6VEV1EmHBk6/1InSFnsHK2vr11RF6Bk7/\nfBeAqviu3bxkmJCm0FgTY8nEfLwxMycM2YL4Aq5eczX7BvbhSY+V1SuJ6TGebn+au167iwFzACEE\n1aFqllYt5Zkjz3Asd+y0DVkyPJ+81V9Rz6w6spCsleO5rue49txrOZA+gOVaACyML2Tj/I0T+lkD\nTk5M82diQ0no2klnTKMZouHbNEWwMhWt2K4rCquGGcHJ4MLldSyoirC/O0dYV1i3uIpURGdZXYLL\nz23gYG+OWEjj6ECBI1mLWCpEZ2+BVw76FWZXNqZYPC/GX/b3jzBwJ0NXoCqqI/Hdyqb6BDsPDdBY\nM7LCyGQzJwwZ+C7lpvmbKrZtW7qNXqO3QkMDmB+bz4AxAKexHqArEc6tv5yc3csr3Y/hSpv6WBPn\n1m8ja7WD9LspXXfedXRkO4hqURriI8MuAmYvYzF4k8WyujjL6kamuiXCGmsX+YtJ9+1sp70nT8py\nWFDnGxvHlSyeF6P9WO6kRqwUtlIiqitEdZWIrhENqVTHdDwpKVhTnU/gM2cM2WiUNI6S4F4frSeh\nJcjZOeoidWSsDKY3tjuU7Rm09P2R1XVvYs28bXTn9rOi5g2YziBd2ZdZUbUcVVHRVZ2mqqbJ+kgB\nASekVJtsYNDCtF2WLEgCcLQnz/6OE2u1Ec0vKeV5kmhIZcPiFJYr6Uqb1MZDhHUVXRWkIjrN80Ya\n06lgThqyjmwHL3S9wJ6ePfQb/SRDSXryPbzS5zfYiKgREqEES1NLyVpZTNfE8RyydvakCwD9hcO8\n1vsU59RfQircgOmk6UzvIKH7cWOrqldN1UcMOAOklPRZDjUhrRwDVqr5VhvWJzwubKpYszDJH1t6\n6MqY1IUjqAqEdJVkVKM6ppMu+J3GqxMhBrIWAqiKqGia3zxHEwqLaiKsbEgVOzP5jU1iIZWV8xOc\nuzDF+UtrpuWzzTlD1lPo4f7W+/Gkx/7B/TievzyuoGC5FlkrSzwUpyZcQ1W4ipAaImfniGkxeo1e\negu9FYUYS63fFBR0RUcTevHfISKhKnqUEMurl3NJ46WcW1dZrWAq8/ACxk7B9TiUNejTVVYkowgo\n13wTCOoikx9OMBlc2FzHo690k6oKUV8TZTBjsqQuxryqCMmIzs59fVSldJYvTnGgI4NRcEAIqqMa\nNbEQHQMFsobDvmNZtjTVsqBY2WL1ghTRkEpiEpPCT8WcM2R7e/fiSX9W5UkPT3p05buoi9ThShdF\nUTBdk7yTJ67HiWpRYnqM82rPY9AcZHvndrryXeWWb6VYtFQoRV10GU01F5K3+xg0DrK6biuLEu/n\nf274WzrzHmnLKQdZmq7H/kyBJfHwpC3NB4yPmKayLBHhYNagNVMgrCj0mn7hytppvFjPlCW1MdYv\nSbE/a3C4K0c+a2NWO+hxjSULE1iuRySi0TNg0NVfoDoaIhlScD3J4f4C6YIvGqcNh3WLqqiO62xc\nWjOpVS3GypwIiB1KacUQoCZcg+VaZYMWVsPEtBj1kXoUoSAQpEIp3rfyfcT0GAsTC7l48cU0JhqJ\nqBEiWoRUKEVjopFV1WtYWXcRpjtI3milMZ6iLuSwomYtaUuAgP1Zv9ih6Xq0pPPYnjdr3ZSznVJX\nq6zt0Gta1IdDE9IHYayUWvqZw9r8deZNbG988Y2O69HeW+BYdx5peURDKi3tGTqOZjFNl9pUmELB\npuXwIImQxrxEmHmpCDnTRUpJPKT6CfSuh8TjqtcvmRFGDObgjGx59XJe638NgKWppRiOwYA5QFgN\n0xBrwJEOOTtHY6yRFdVruKjxUtbWNvNS90vs7d1LKlzPm5e9k/pIghe7XySmxtjUsInf7vstr/W3\ncCR3gJCiEdfj1EXCXLJwJfOiYTwJLZk8rRk/jkwVgpWpWDmyPGBmIaUkPyRy3/C8icz9PiWWJzlW\nsOg1bFamYoQUwaGcQZ9poymCeePokNXWmyMZ0XB6jhtCVRHUxULUJ8J0eZJoSGPd4ipWNySpT4SJ\nhRQO9h1CSr/6RzSkUhcPMy8ZYd4UdBAfK3PPkFUt58KFF7Lz2E4ALlp8ERcuupB+ox9NKRWCs7h8\n6eWEQssouIKM7bBh3gZW1aylJVNAFYI1VbGy5rXj6A5Caoh19StYV7+CvJ0nokV436r3lUtpKwKW\nxiO8WszDmx8NBUZshjK8D0JUU8tu5opkdEpm0WFVYWUqRks6T0s6T0hVyNoOC6LhcRkxAMuRhDWV\ndYurODpoYDguDXVRNq6opTEZYc/hQdLVURQP5oV03npeA63Hsiyq6iZr2kggpqtoqkLTKKEe08mc\nM2QAr294PRvmbcB0TBKhBK7nsrd3Ly0DLXRkO4jpMfYP7mfj/BqkUkNrpsCiaJguw1/JWZ6sDHzs\nyHZUHD+m+zE6vUYv82PzAV8TO5A53nzhaMEipqplzSxg5lBwPXoMu6IPAsDBrMGA5VAbnhqxP6ap\nrEjFeG0wh+V51IZ1Fp5BEnpzfbzcY7KpPo5QBeGkTnN1jNfNT3HBoho6cgZHcibNqSj1kRCJsMbG\npVX85Ugax5UoQrBiXpxLz5k3UR9zQpizV5Gu6OjFhh+qorKufh17e/eiCAXHc+jIdtCZ6+S9K/6G\no2aUjrwf5X9udYKIWiktJvXkiOMLIcodmqyiJuZKyTlVcUKKQksmz/5sgeWJaGDMZhgxTeWcqli5\nwCL4mllUVYhO4SxaSkmPcVzTzdpuuY7aeIiGVK7csIhHXuliIG8TVRVev6CK181PlWeZi+MRErpG\nqpg0H9FV/uelK/lTay8H+3IsqYlxyap5hGeYNxFcQUU6c50jKrV60mNv/z5qYhvK22zPG2HIXjf/\ndewf3F/O5QRYW7e2PDNThSCqKSyIhsvu5MpkjIPZAiFF0GNYGK7H4iF3/66CiSthYXRqW88H+Ixm\nsKbaiJU0sQXRMFUhrexmrkzFxm3MltbFuP6iJvLW8XLUw6kadmOtiYd414aF43q/qWLOGTK7WJN9\naKs1y/Ww3NHKrYQYtGPMVwRNiRjtueM6SXJIyER9tJ6rVl/Fnt49FJwCy1LLKoJfVUWwPFmZf6Yp\nghWpogtq2nQbfiG8xliYY4bFkbxJzSgt4gLmBrYnSdsuC6LhsjtZ0sy6DYtFsXCFVpdzXGLqyRs5\nlxBCzJjVxoni7Po0p0BKSWumANKvTKApSjkUIqTUEtWiFJzjOpaqzqM+Wl8uy7IyFaUlXaA9Z7Km\nSq04aaoj1Vy8+OJxjWtR8UQ9ZlhlV6Im5C//B7OxuUlIVVhTFavohhXTVFaloryWLmC6Hs3FhYcB\n06Yta9AQDZWN3lwLtp5TcWRCCBZFwxjF2lF5xy1rV4vjUd7Z/E5qI7UAhNUwW+Yv44L5i8uupKb4\nxmzFMLF/QsY1TMRdGhixOc9oLf2imsbiWJi07XAgU+CYYfJcTxpVUF7NNFyXVwfzFJzpSeCeDubU\njAwgFdJYnojSmsmXQyHOqYoT01RiWgMfXPNB8naesBoetQv5WLp/j4djQ0Rd8FNiGqcwAPNsIGu7\nxLVK9yprO8Q1dVq/Ryklg5ZD9ZDVTk9K0rYzaof5U1FfNFiHixqaKgSuBMvzcCTsS/texVw6c+bU\njKzEcKE0NEzwjOmxUY3YZNFVMMua2MbaJPMjIXoMi/a8GbSEGyN5x2VfOs/h3PHvrNuw2JfO02dO\nbrnpU9Fr2hzIFjia9yupeFJyIFPgQMYY96ypNFvTFEFDNISmCF4dzPHygH9zXpWMEplhK4uTyZyb\nkZU0MVUI5kdDHC1YtKQLZc1sOpBUamIlN3MKu93PeqKqwoJoiKMF31hENYX2nEFVSKNmmoXturBO\nznHpLJh4+A1K0rbf9GQ8K6GDlu9WxjSV6pDOkbyBLgRSghCwOBaeU0YM5pghk8U7oStlOT0opqrs\nzxY4mDXKq4hTzYJouEKcHWrMAtdybAghWBD1Xa6jBRNMP4ygKTE1kfinGtvSeAQp/dk3wJJ4pOwi\nng5+g5MCUU1hRTKGpggcz2NPf5aoppLUVdpzBhFVmVOZI3PKkAkhaIz7y9alH7mkmQ13L6djbCd7\nHHBqhBBoQ35HVUxGT6zxIaGi47gzzhZtuqLQlIgS1/wEbsP16CtmG5xXE0cTSkW82VwxZnPKkAGj\nlswJIuvPDroNq+xORlSVroKJQLAkPr2LJiVNrOROltxMYFx9L4cGrKrCb6gyVBNbmYpxKGeM2kzl\nbCW4gmcwjicrZhgn2hbgi/0lI9aU8IshCnw3M66p01oMsc+0y0asPhKirjgz6yxYVIW0M8oYKDU4\nGUpYHbntbCcwZDOUUozbkniEmuKyfdpyaMsWaB6WWRDgB4s2J6Ok9OPlqRdEQ0SL7d+mk7qwTkRV\nSRTzF0uaWV3Ym9K0p7OZ4GqYoYRVhajql48BX+/Zny0QURSi48yzO9sZHpMlhKA6rON4HiqVuqPt\neWhCTInL6RcQUE+5LWD8BFfEDEUVguUpX9RtyxZozeSJFDMLpitMZDbiSslr6TyHckY5vsx0PV4b\nzNNZsE7x6oDZQnBFzGBUIZgXPT7LqIvogRE7TVQhqA3r9Jk2h3JGOY7QlZLqYJHnrCH4JWcwviZm\nEFb9/gEdORNNiLJmFjA2FkT9lcHOvFlO6ZlLoQlzgeD2PkPJOW5ZE1udirG6Kka8WHI5bU1vys1s\nZGhJpFCgM551BL/mDCWqKtSH9bImVtLM6iM68WAmcVoMTUurDukUXLdCMwuY/QSu5QxFEYLGeKRi\nmzrKtjNleN2q0sV9tmQWuFKWNbGSO3m0oNCZ9930xRP8fQZMD4Ehm8MczZvYUpbLBUkpOZI3EULM\nqBLbridHlGQebdtoqMKvDuGXafJnsguiYRQEqVAwsz1bCFzLOYqUErfY3KJULuhI3uSYYVXkBE43\nluvxymCOY0NCJQqOy97BHH2mfZJXHqc+MrL13vxoiIgaGLISxijlhEbbNlOZ9hmZEOI24K+AY1LK\nddM9nrnC0AobQ0ts10dCM6qgo6b4Cf6lLlZJXaUlU0BAsOo4QQxYNgcyBkvi4XJFjqN5k6MFi5Wp\n2KwI3J0JM7KfA2+f7kHMRUYrsT2TjBj4WuGyRITqkE5H3uCVwRwCyn0UAs6cVLH92+GcQY9hcTRv\n0lkwqQlrxLXZ8R1P+yillE8CfdM9jrlIyZ0cylRXpTVcd0Q4Sd5xydjHtylFnauEX91i2k/dswZF\niHKe6uGcQWfBpDasszQ+e/pGzJqzQQjxCSHEc0KI57q7u6d7OLOeoZpYfSQ0KSW2jxUs8kN0Fikl\nRwsmhnt8W0fOZH+mwGDRmJWS5duHlKwuOC6tmQKa4uef9hhWhWYWcOYoQlQksE93n4PTZdYYMinl\nv0spN0spN8+bN7Patc9GhBCoiqjQxBbFwsyPhCakjpXjSboNi5Z0nrzjIqWks2AVo+uPz7aWJaJE\nNYUDmQJHC2Y53mt5sVOV5XplTWxVMTC45Gb2GmMT+wNOzdG8SVfB7xuRLM7MeozZc7OYdrE/YPqY\nzBLbmiLKDWVb0nnimkradqgPh1g4xE3UFMGKZIw9/Vk6i27uOVXxcoMYXRHUhjTqIqGyO7ksEUHP\nB9UjJooB065wJyVwIFPgcLFk9mjFSGcas2ZGFjA5jFZie6JcirCqsDIVwy22PotrKo2jVGu1PI+h\njqzhehXjWRyPVGhipWDh4d2wAsZHKqSxJB4pa2IlzWxJPDJrskim/UwQQtwJPAOcI4RoF0J8bLrH\nFDAxSCnpHRLrZbgehSFGCo5rYiFFlPuLHhiimQVMPorwJYahN5jRts1kpt2QSSmvllIulFLqUspG\nKeWt0z2mqURKSXvOqLhwpZQcyhpk7dl7MZc0sa6CSX04xHnVCVQhyppZiaMFq6IaxYpkjKjmpxAF\nuZABY2XmO78zgOH5iCfaNh48CVnHpcewi0vgKgdzBv2mTVgVs0KfGA1X+oGW9eFQ2Z0saWZpyykH\nsy5LRHA9SUg93nB2RTKGZGK+34C5wey8SqYQT0rasgWSusa8YtSzJyX7MwVqwzq1Z1gbTFUEK5Mx\nWjJ5DmQKqAIcKVkYC9MQPf0OOzMFTRGsTsVRxXEdLqwqnFMVq1gVVYVAVcWI1zJjGrkFzAam3bWc\nLbTnDLoNC09KWjMFMvbE5aH5s5AoEokjJQlNKxcDnM1oysiFA01RgpkWfs+AofF04JcbModpiAFj\nIzBkp0ARgqZElKqQRnvO4MW+DFnbZVkicsazsRJSSjqGRNjnHDcQu89y2rIG+9KFsjEr1Uw7kCkE\n2uA4CAzZGFCEYGk8CvhGJ64pFUbsTE48KWVZE1sYC7O+JkmkGCAaGLOzlyXFeL196QJpyynXTFua\nmD1pQTOJwJCNAU9KDmQL2J5Hn+mQth26i1HPWdthX7qA443PJfAAy/U1sQXRsB9IWly5s8Z5zInA\nG8U4j7YtYHxENJVVySiO59GayWN5XtBH4AwIxP5TUNLEsrbLoliEkGKTsR0OZgvkHZcBy0FXFMZz\niZuuR8F1WZmKlpvKGo6L6UlWpWLlbVNNt2HRa9gVreeOFkzSlsOKZGxMBQ0DTs3wmdds+FpLwcpD\nA5QLjosqRHnleToIZmSnQAAhxS8l0xiPsDLld/lOWy5H8maxZX0UfRxt2o4WTA5kDAaKLqThuOzL\nFGjPGRP8KU6PiKpgeB4txZnm0YJJZ94krCqz4mKbDQztI7As4d8whmpmMxFZXMFvSefLBq1QDGg+\nmJ3eHgiBITsFoniilTSxhK6xMBaiJuyXkmlKRMZlxAAa4xESut8ZqTNvsi9TAGDFkBnadJDUNVYk\noxiex+5iDuR0lnUpVeqwh7janpR05Awcb3a6u4dyRrmPQG1YZ1XS12DbMjO3KYoQgmXFXMyWdJ4B\n06YlnUcIMe3aXmDITpOs7XB0SAmZtqJ2Nh5KVR40RXC0YOJ4HqtS0RlRgjmpaxV5doumseBiwfU4\nZli0pv3v2pOSA5kCxwyLrDM7F0SWxiMVmlhJM1s2w8X+qKayMhnF9jwOZAs40pdBpjvvNTBkp0HW\ndmjNFNAVhXU1CValYtieZF86P25jZrtexR0478yMOKKjBZOs7et/AkHrGSxonCl+6pI/Q9yXzrMv\nnSdtOyyJ+5VjZyNhVRkh7Ec0taIm2HRxugs9M2H+GBiy00ARgqiqljWxRNEFK13sp0tJExPCT5hO\n6BoHs8aYm2pMFl1FTaw2rLO2Os6KVLSsmbnT5MoldY3mRBTT9cg7Lgtjx+vLB0wcPYbFK4M5rCGB\nuV0Fk9cG8zieLGtiuqLQnPS1vaGa2XQRGLLTIKapI4T9hK6xsugeni5dxRCOVakoMU1leTJKQlc5\nWjCnNdQhrmnUR0JlTaykmSV1ddrEfq/Y8anEgOmMexYccGKiqorjSVoyeSzXo6tgciRvElEVFPyY\nRyEEq1J+gcuVySgSODzNYr+YqcLiydi8ebN87rnnpnsYZ4wnJbYnK/QFV8qKJOoAyppYyZ0Mqwqt\nmQIRRWHFOFeMA05MznZpzeTLbQFrQnpZuyulUA09Zw3HRZmk8AshxPNSys2n2i84A6YRRYgRIul0\nx+PMREzXI+e4LIlHqI+EyjNE0/NmjKZ4NhHX1YqqKwuHLPSEVWXEORvR1Gk/Z4MrJmDGE9VUzquO\nV2hiSV1jbXWcqlAQ0z3RdBVMBi2bkKKgCOFnHgzTwLK2w8AwLTdtOSM6Yk0VgSELmBVoo7iPo20L\nODO6DYsjeb8JyXnVcVYmY2XNbOiqdVfBoi1rlI1Z2nLYn/UbyEyHXBXczgICAsrENbWis1Zc96v2\nDlh2RR25pkSU1kyBtqxBre3SZ9lEVIXlydi0xMEFt7SAgLOErO2MqGeWtk5vdTemqSwZlsER11UW\nD9umDqmh12taSClZmYyNa/V+IggMWUDAWYBfydigJZ0vG7NBy2F/pkBHzjzFq8dHzqnMC53OHhOB\nIQsIOAtQiulurpS0pPN0GxYHMgWimkJjPDLh71fSxKKaytrqBHFNq9DMpprAkAXMCLwzTAzP2i4H\ns4WKQOKM7Ux7oOZUEtNUVqZiWJ5He85AFbBikty9HtPXxFYmY4RUhRVJP6i727QDsT9g7mK4Ht2G\nxaDlsDIVRRWiHAQb19VT5lQWXJc+08aV0JSIkHPcctCsK0GbuXnYE4o9xOhL/ABrbRIauTQlIniS\nspEsaWZw5l3qx0NgyAJmBKUUrf2ZAvuKdbryxSDYsSSGz4uEkBI68gZ7+h086ddV84tDzg0rNmg5\nHMgUiGkqi2JhDmT82mErJ6E6hSLEiHS16Sy4GbiWATOGpK7RdAaJ4fOjIVK6hislEsmKIRVuz3a8\nYqPnqKawIhkjqWusTMVwpaSzMDli/0xibvzKAbOC4Ynh/adIDB8eapCxnXK1XYDDubEn39ueN2LV\nzXQ9chPY9m8yUYRgRSpWoYnFNJXVqRhLJkHsn2kEhixgRjA8MbwkWrekRy9cOWg5vDyQo9fwV8ky\ntsNLfVn6TJvmRJTFsQiDlk1b1hiTMWvPmbRkCmSKxqxUirpt2ALCTCaiKiPc6IimVgSynq0EGlnA\njGB4YjjA8mSUA5kCecejKlR5z03qKkld5VCxv0GfaZN3XJqTUVIhrVwqfMCykZJTNi5vjIcx0x6t\nmQJLYhGOFkxcKVkxjU1gAsZOUMYnYMbgeN4ITWu0bSWGzuIAqnSNpmRlvwNPyjEbItvzeHkgVy5f\ns7oqXlHuO2DqCcr4zHKytkPvKNUF+qe5euxkcrqJ4YoQJPTjhmboTGzoPmPFk5Vlm2eLSxkQGLIZ\nS7dhcyhrlDWgUiT1McOaMwGep+JYwa/UkNI1ErrG4ZxZ/r5Ol5ImJoDlyRhRVaV1iGYWMLMJNLIZ\nyrJEBC9T4FDO8FfjbMeviJqMzuguO1PFoOXQkTeoLlYvBThQ/L7CqqgoDDgWOvPHNbG4phLTFFrT\nBQ5lDc6tjgc62QwnMGSniZQSR8qK8sqelLjDtp3s9VAZ/TzaNkUImpNRXuzL0m/5s4yVcygu6lQk\ndZXFsQj1Eb1sZJqTUXoMe1y6VmM8guV55c5GerGMtuuNXWMLOE7JLR+uVw7fNlEEV8Vp0pH3O8qU\nYpg8KTmYNdiXPvUyvZSS9rxJe/548TkpJYdyBp2FkS5j1nYZqtoMWrMjpmkqUIRgfjRUcVGUto1n\nxqopYkR7Nl1RiJzEKEopR/xm3ijbSvsaw6pFeFLO6M7i40VKyaGswf7M8WuitDDTNkm5r4EhO01q\nw3q5woDhehzMGgxYNvVhfUx3GlUIegyrbMwO5fz2b4qonJGVqwuoKutqEqR0jUM547Q0oBNdUAFn\njiyWzTmcO35TKl2sR/IjI+k7CxavpvPloNtS2R2/zdrZ1XdACEEypJGxXfZnCjje8dXllK5OijQy\nZkMmhHirEOKnQoiNxcefmPDRzAJKFQZcKXl5IMuAZbM4FmF+9OSpNKWTfWE0REM0TI9hsbM3TZ9p\nszAWZkE0XLF/n2UTUfxcwVIPwZSu0jvG6gJusXHw0Eh5x/N4LZ2f9pXPXtMeETHfY1jkndk1O4mo\nCr2mVc4gKF2so+U1zovo6IpSXkBoyxoMWv5vfzbKBXVhnaWJCBnbYXd/phzoPFm9SE/nG/wo8GXg\nWiHEm4GNEzUIIcTbhRCvCiFahBBfm6jjThbDI6hP1QCjdPfuLPhGZWE0hJSSAcsha7s0jPLjLi1G\nt5dO8pJmNlaxXwh/9nc4Z9BjWDjFKPmC601rpLcnJV0Fk9ZMvmzMjhWs4jhHGtiZOqsUQrAgGmJB\nNEyvafFi38kvVl1RWJWKoglBSzrPoGXTGI8w7yxuMlwz7LqoDU9eV/jTMWQZKeWAlPJLwNuALRMx\nACGECvwr8A7gPOBqIcR5E3HsyaCkiZmuR21YRy2emMPz/oajClFudtqWLdBvORiuhyKo0MxKKEKM\nSDdRhBhzhYGS4UvpGodzBrv7sxiex/KEH/k+XShClEsit2bytGUK5dXHxnjlrDTvuLyWruzgk7Vd\n9qXzM6I5rxCChmEz8T3Jjp0AACAASURBVLqTXKyqEOhDfr/oWdz2rzRDBb/hM4gKzWyiOZ1v8oHS\nP6SUXwN+MUFjuABokVLul1JawK+A90zQsSecjpxZdieXJaJlN7MlnT/hjySEYEk8TF1Y57V0npcH\ncoQUhS31VTQnYxWa2USiCFGRMFyla9NqxEqEigX5XCnpt2x0RWFZIjJCY5QU47uK7ciy/397bx4b\n2X7dd37O3erWyq339TXJftLTs54kz4sdO0hgWDIsC46NGHH2DQ4iAzMZzAADBBMogwFmJhhgggQJ\n7ACGkARBEGcmzjiBDWQSxUocyZGjxE+2LL2ntzR73zcutd79N3/87i1WcekmmywWi/x9Gg2Sl2Td\nH+vWPXXO93eWOOVGq0tyCDwyGL5Zix3rQc1s48/eagd0kpTT5RKlPE9tnO2hR4WOQNbrZl+fquRh\nZsrNVm88Yr+I/D0REaXUr21Y7C/s0xrOA3cHvr6XH9u4ji+KyDsi8s7Tp0/36dS752TZ5WJ1XRMr\nNLOzldILxX4R4ULVxxGh7jpMew4nfLevmfm2te8iaJJl3Gj1AEEQVqN4SDMbJ4NdKlKl6G0xaLfq\n2Cw09Diy91bbXGt2cCzhaqMy9uniakOR+5vT1X6YeW+LHvkPu2E/nDxXKXE11z61GD5+73I/ERFm\nS+5QmF1oZrMld2xifwv4dRGp5Iv8cRH5xr6v5CUopb6slHpbKfX2yZMnD/r0fXzb3qSBVBz7pfF/\n8e5dc21qrk2iVF8zO1cp7btWkmSKpWaPIMtYqJd5a7bWDzNfNft9v3jSi/rh5Cema7h5mLlVy5yq\nYw9thFyulcduxEDfrDXX6d+sg5rZYNlUwelyicu1cv86F5rZpZp/JMX+ac/ddJ/MlVxmRqSTvTTO\nUEr9DRH5M8DXRCQC2sB+CvL3gYsDX1/Ijx0ZNraomSu53O2EPM4b3p2rlF7yCLvHFig7Fue8Uj+c\nvFIvc6cd7Hu30N2QKcVyGPcz8gvNbKnVZTmKqW4wAu045dFAY8Db7V6/T/y42aiPiQhnt7mWjiWb\n3uxcy2LaG//fcRR4qSETkc8CfwXoAGeBn1NKfbiPa/gd4KqIXEEbsD8F/Jl9fPyxI+idzilv3dW+\nWC0hMjrBV0S4XCsPHbNEeK1e3uY3DgZLhMVGBUvWM7w92+L1RmXTbmqhiTmW8EajSpQprje7LLW6\nh8aYGQ4HO3klfAn4X5RSPwL8ceCf5+kX+4JSKgH+KvAV4H3gV5RS7+3X4x8GRITzG7blJRfiR+Vq\nH2YcSzbpiY61WSO0RYfyhSZWaGauWJv6xRuON7vuRyYiZ4FfVUr98GiW9HJMP7Ljg1Jqk4Hb6pjh\naDKyfmRKqYfAZ19pVQbDLtnKYBkjZtjIK4kMSqnefi/EYDAYXhWjlhoMhonHGDLDrjistY+G440x\nZIYd04oTrrd6pNlgj7RkpDV0BsNOMIZswmnHCUk2bERacTJkbPaLVCnaccr1Vpc0U6xFCTdbPWKl\nGMHpDIYdYwzZBJNkihutHkutbt+YrUYx15s9HvY21/vtlWnP5bW6TzfJ+M5KixutLr5j9btZGAzj\nwhiyCcaxhNdqZYK8Q8TzIOZWK6DiWJwt73/ZE2hjNlhqc6VWPpJGTCnFg27I04Eie6WUrlU9wiP5\nJhVjyCachucwXyvTS1LudHp4tsVCvbLjvmW7ZS1KWB64kW+3eyMJYw8DQZpxrxPwNB/Bd68b8iyI\nXtp7znDwjL85lWHPZENjZRWjMiuFJlaEk+0k4VYr4HqrO1LjOQ5EhNdqPrfacK8TcK8TAHDK9zj7\nkrbmhoPHeGQTzmqkw8mqY/NarUyUqSHNbD8R8v5ruSZWaGaWiP7mEcPKjVmBiHCuUjKVBYcQ45FN\nMEmmx25VnPVw0hbhRrvHo17IhYHusPtBw3Oob5iCM+25TLnOkby5lVLcH5iIpJTiWRgf6T77k4ox\nZBOMYwkLjQq+ZfXDuobnsFivUHFG1x5oJ8d2y2ErDh/UxE75HmcrJW6110NMY8wOFya0nHCqjr1J\nm6q59kRNx34exnzUHA6Hn/QirjV7pGNMtM2U4pTvcS5vY/5azWfKc8e6JsPWGI/MMDbiLMO1LFwR\nenkKyeWqHlJxvxsw5bljk95EhEt5aF54hZYIV2r+kQyjJx3jkRnGQi9J+d5qhye9qJ9CshYm/MdH\nK1xvdZnyXF7bYrLSQSIim4yWMWKHE2PIDIAeu/aoNzzKLEhSnvRGM3WpZFs0XIf73YAnvQgFdJIU\nRwTPsrhYffFUKoNhEBNa7pHDJlK/KsthzKNeSJopzlVKhGnGtXxm42zJ2fdJP5YIl2s+tOF+V897\nTJXihO8CwvVWz5Q+GXaM8cj2wLMg4vqGzg9PehE328HEdYM4U/Y44Xs8CSJutHp9I3a1UR7ZuDJL\nhJmSQydJaUYJcyWXT83WWaivl12NIh/OcPQwhmwPWCK04rTfxqaY1ziJPoSIcKFSou46NOOEJMu4\n2ijj25tnNO4Xa5GuDKg7Tj6ERfEsiPuaWcW2sSfxyTQcOMcqtEwzhQyMIQOdVGrLq4m4RfH07XbA\n7y+3AIbmNU4aYZrRG6gjfB7EnKvs/wR0gG6SDpU7WaKfx/vdANcSZkpufx6nwfAyjo1HppTieqvL\nrfZ6KJhkGUvNLne3GHG/U2ZL7tBsykvVyTRiQZL2w8k3pqv9MPNBNxxJB9iybXGm4vV1sEIzO1su\nGQNm2DXHxpCJ6Hf5tSjhVrtHnGUsNXsEWcb0Hm6cJ72IXpr2v77ZnsxuqWtxAtAPJy9USpzwPVaj\nZCQJoCLCmXJpSMy3RDhTKW0a1DsuNl5HpdQrGXWl1CatL1PqyHYNGQfH6q2vKCu51wlYi9qAsFAv\nD3kArTjBsyxKA17WWpRQcSzcDaJ3oYkV4eRqlHC7HXCj1WO+Xp4oz+yU7zFbcvt/Y6GZpWVvZGL/\nQZJkGali6LrGmQ6jN15XgIfdkE6S9q9jUXcZZWrXSbF3OgG9JGMx3zjJlOJWu0eS6TeOSdvhPoxM\n/it0l8wMGC1LdDlPQaYUt9sBS81uv+fUahRzs9XjQXdz+OnZwsyAJjZb0p97ljVxgr+IbLqhReRI\nGDGlFDc3XNc4y7jW7HKj1dvSy/Isa2gj537eZNF7hXSQGc8lyCOAOMu41e6xFiXMlo5msf04mPxX\n6S5I8heTiDDluf13xiKEsESYr5dJlWKp2eVJL+p3XL1Q2dxJQrexGfa8Zksul3b5jq2U4l4noJes\nh6hZ3o00ME389oyIcL5S6l/XdpxyrdklzhTnt2nLM+e7XKr6tOKE319u8TSIOOl72/78i+g3v0wz\n3l1psxYlXKz6nDCF5/vGsTFkSqm+JjZfKzNfL3Oh6rMWJdzJOxpA3m+rUSHKMu53A2xLRt40MFGK\n1Shhqdmll6S5gQ14FkS0c+3KsDcGr+u1ZocwzViol6m526srsyVnSK/bSy+ymmsz+Kt70WUNmzk2\nhkxEOFX2mK+ta2InfU+/M5aG3xmjbN0LUkqRjFi8dy2LxUYFEeFas8sHax3WopjzFfOuvZ+4G96M\nttLGCgpNLFWqb8xedexd4fkrpXQhvAhLzR5JZrzt/eLYGDLQYd/Grf0Tvjekkw12XF1sVACGtJVR\n4dsWi3lYG6YZcyWPU6al8r5RaGKWCBeqPrbIC69rMXjkpO/xyZkal6rlIc1sN9xpB/1wcr5eZr5W\nJsgyrm+jzxl2z7EyZC8jU4r7nbDfcbXuOiw2KqRK8WgE49U2nvvBQIH2WhQPaWaGV0cpxa1WQJwp\nFuplTvpe/7oWntJGqo7NqQFNrNDMqs6Le70ppWhtkAPmSg5zJbfvXRea2UnfM2L/PnHsA3WlFGGm\n8G0LS3THVQetW9kIFcfm9UYFzx6dzS80sSKcbHgOS80uS80ui40KZWd0ZULHARHhYrVEotZ3qSsD\nHvdWxmS65DI9MPYO9AbAy1iJEm63e5yv+JwqeyilWM4nT53wPSr5tTRJv/vLsffInoUxH6x1aEb6\nXbRkCQ+DiA/WOv2ww3/Ju/BeSZUiSNP+i9+3tWZm5Q0HDXvHd+whCQHAs2RTOkWcZXtKVJ3xHKY9\nl/vdgMe9iDudgOUw5ky51Ddi4yJI0k2bR90kpXsEPP9jb8hmPAffsrjR7tGMkn6f9hMl95Vyhl4F\n17L42FR1SBPzbYuPT1eHhuEa9g+l8intA6J7oaPdbPde+XGLMXLTnsuD7roRO1sZzcDk3XC3G3K9\n1esbs26SstTscqcT7FqrC9OM1Wh4UHGQdzEZB8fekDmWxWKjjG9ZXG91+8MmDnrs11ZlOYelVOco\nUpRIFYmqvWQ9t+zMPkxpH3wPPCzX8bWaj2vpXm9Pg4ilZhdbhCu13VcXPOyG3GoFrOTDmota3bud\n8bSwOvaGDPQLzR/QwOpHdLyZYZj1RNW0LyUs1CubQtDdoJTqh5Ony6V+mDmqTru7wbUsrjYqZHkC\ndqoUi43KUNnWTrlY0xsft9sBD7thv+HAQmM8pXljNWQi8rMi8p6IZCLy9jjWUIz9WonivJOF3Q8z\nDUef8oaxef4eG6Ct5ML+mXKJc5VSP8y83w0OhRYVb9D/4l3mskVpRjtOsEWYb5SxRdcud5N05P3r\nXsS4PbJ3gZ8Bvj6uBTwN4n44eanq98PMG+3eyHPHDK/OVsmku00wHcwtO1Mu7Uui6ozncKVe7mti\nhWY2X6+MXewvNDHPsrjaqFKyrSHNbCfcy3W2VpwQpxlxplgOY9aimG68bqjbcUKQDhvuZpSM7J4a\nqyFTSr2vlPpwnGuYK7lcqPp9TazQzC5USq/kchtGT5hmvL/W5fFAbl83n8q0HMYv+M11CrFf55ZV\nOFsp9RNVb7aDlz/ANogI05676djUIUi3uN8NsUVYbOjw+WqjgmsJ93fRc+5itYRnWXy41uH3l1s8\nD2NO+C7nKz53OiErYdxvvnCt2esbs7Uo4cY2zRf2g/E/u2PGtmTT1GjHskxp0CHGs4S6Y/dvirrr\n9IXr6g69nqKQHKSviRWa2VEdeHKl5g+1Mio0M9h5h2Q3f6P/xuNVwjRjtuTyiekanm1xo9njYS9k\nynOYr5dZavW41uxx2vd40A3xHYuL1c3NF/aDkRsyEfkqcGaLb31JKfVru3icLwJfBLh06dI+rc4w\nicjABCZtzEK8vF51N170VgXjRzlR1bGsTTf8i+pNtyNTMOU6JI7CsYREKcq5ZpZmCkuEsmOzWC/z\nwVqH+90AS2SkU7FGftWUUp/bp8f5MvBlgLfffvtA9nczpTbtwGx17EUclXFxhw0R7Umv5LlMDc8x\nUsABEKZaV3QsbZjudcJ+I9G662APbJZEAxsLCkhUhsNodEJz5bdhLUqGsvsBVsKYD9e6O97paUYJ\n15q9oTbHq1HMUqs3kvbRx4luknK91cW1LKqOzbMgGtLMDKOh0NMWG0UtchnPsri7Ial2LUq42epR\ndrQWZ4sMaWb7zbjTL/6YiNwDfgj41yLylXGuZxDXEpJM9TskrIQxt9oBjsiOPTJFvlOUz2csOmvo\n3u+jXf9RJkyzviZ2tVHhaqPCjOfyIK/KMIyOS1WfqwP1v4VmtlCv9KMM3VE36E/IqrkOi/UyAA+7\no7k+MoltRN5++231zjvvjPw8xXZ14T3VHCfPndl5WFi8Myn0Y1Qdm3kzQXtPKKV42IuYK7n9cLI4\ndtJ3X0n3MewvYZphiwy9zoM0w7VkV/ePiHxLKfXSHFNzxV9AxbGZG6h1vFDd/YSfKc8Zqpe8fIR3\nxQ4KEeHchvSY4pgxYoeDkm1tep37tjWyci1z1V/AShjzJIixRBCEG63dJ8muRvFQbtPNdm/TaDDD\nOnGWsbahqiJKM1NpYXghxpBtw2quidUcm++bqfH6VKU/vCLaoTErNLGKY/HJmTrz9QpBkvU1s6NK\nlGabDH6YZjvaJHnYjbjR6vWNf5Tvkt3OawMNhq04ukkze8S3LaY9h0s13Ra5aMT3pBftODR0RCdb\nvpaHk1N5+cqzIOKoRpd69Jr2Oou8rmLLXpfGvLjTwvlqiTDLuN0OiLOMZ0FMqhQL+c6XwbAVxiPb\nBt+xuVIfFvYrjr1p/NuLqLkOC/VhTazIep6k4b27QXdj9fveaytOuNbsopTiQvXlrZHsfCSfZwkP\nuiFRlrHQqOw4Y99wPDGGbMRsdeMe9WTYwdFrS02dd7fQ2HnRdJopBoNQU7x/+FFK8aAbDs2ZUEpx\nvxMcyPUzhsywidUw3qQDLofxrrpCbAwDdxoWFppYkXRZcx1ut4MdF4MbxkOidBeMpZZuUln0ZXsS\nRJs2b0aBMWTHkK1yB4tjSZZxpxOw1Frf1HgaRNxu93i8w+aA/TIWES5Vyy8dvTbI417U18Tqrg7D\na64uEDdi/+GlP5sVPT7xo2aX5TDmbLl0IGMNjSE7ZhQTm54PeDhZ3tJmNYpxLIv5eoU4Uyy1ujzo\nhtzrBEx57o76zquBEWsLjQpzvtsfvXa7/fLe8OerJV4f0MQKzWzRiP2HHj00p0yiFN0kZdpzOXNA\nswrMruUxYGOReqoUt/PWxDOew81Wj2ac9vto1VybhXqFa80Oj3uh3uSo+TvaoBARLld9MuhrYoVm\nZom8VB+0RPA3aGm2yFAxsuFwopQa8trbSUovSQ9knKHxyI44UZrxwVq3PzTWyjPg20nKUlM3x2vG\nKZeq/tDcxt5AcW+SqV3lvfmOvUnYrzj20FwEw9FicFbB2XKJN6ZrOszMNbNRY15ZR5zCAbqRtycO\n0pQbrR5TrkPh49Qce8iIPQ2ifji52KiQKDWkmRkMG0mUoh2nnC2XOFMp9WezCtAxhsywV4ruBJ5l\nsdTs8v5qh0wpPFv6dYntJO1rZkmW8agbMuW5vFbzqbsOC7lm9szsHBq2oZjNOqiJ+bbFG1PVA+m2\nbDSyY4BrWVyslvK0BkhRpClcqpaZKTncaPW4k/epnyu5XJ2q4lnr7Ypqrs3HpiqUTEG24QVsVfFi\nH1AJi3llHgOCNOXWwECN1SjhRMllznex8l3Bhmv3Xwy+bW0S9n3b3nMib6bUpuGtmVK7nnJtMGzE\neGRHnCDVk7QV8PGpKo4lXFvrshzFzMQONdfpG7NRVhyoPP0iU4oreYlWphQ3Wz1sS+90HvWKB8Po\nMB7ZEccRoWxbLNbLlB1bT86ZqlDLPy94kRHZasdyt907RIS6a9OMdaPJJFP9tI+6Yya7G/aG8ch2\niVKKdpASRBkl16Je3nvINUocS1jIR34VuJa16dh2LIcx9zrBUOH2k17E4yDi9V1OLSpE37udgO+u\ntACt0w3umBpGSBpDbxXK02AfrefcGLJdcn85pNVdrx2rlGwunTy6YVHNsbFFuN7sstCo0IlT7ncD\npj0X9xWE3NmSy93Oul43UzIvwQPhwe/B9d+EJATXh4UfhbOfGveq9g0TWu6CbpgOGbHiWLN7dLuX\nerbVn4LzUT6jcNpzubzDTP9BCk0MpJ8we7PV27QBYNhn2k/ho69oIwbQXYXf/afw/ObLfzdsw93/\nCre+AZ3no13nHjBvh7sgiLZOCA3j7RNFkyyjnayX/4Bu59xNMqYmZBisZ1tMeQ5P8wlFJ31v10ZM\nqXVNrKgieBZE3O0E3GoHXKkdXa927Dy/hh7bpeDet2D1lh7x1bwHP/jzMPMa3P9dyBI4+XE4+xas\n3oHH34NbvwVuVWdW3/pP8MYfhdOfGO/fswWTcScdEnxvawfW92zCOEMphe8Nl+Y86kU8DWIuVWHO\nd4kz3RkiyRSXqj7dNONs2evfxKtRTC9JqVs6875SGr8G96QX8TSIqDg2Saa40eruutmhiDBTcpn2\n3L4mVmhmzg5qMA17wPH1xyfvw7MP14+v3Yf/+g9h+gKUGtrYLf17aD/WRi3ugeVCdQ5OvQlkcP0/\naGN3yHIKjSHbhjDOSDNF2bNIM8XdZwErnZgoSkGEkmPhuRZV3+F5K+p7a75ncX7Ox3P0hT5XKRGk\nujVOrDKWw5g4UyzUy6xFCU+CCKUU5yol1uKEpbUeQS9lFr2T5zoWl06uP95B8zyMh8LJJFNca3a5\n3uzysanqrsT+wWlSBQeR9X3sOfUJ7U2t3F4/JpYW/+/+Z1g9C7Pz2uA9X4L2E5i6AN3n2pCJBd1n\nUD0JYQviLpRq4/t7tsAYsg1kmeLe84BOoOvDRGClE9PsJMRpRqbAFqj6DlXfxnOEopQsU4pelPJo\nJeTSST2QtMjR+mity8Ou1iiu5g0Dq46NAt18Lk6IUkUcZsywno4QJxmPV0Munigf+HMB0HBtTvke\nZyslLBE8Ww/FfRbGeEd18MBRw/Xh038Obn4NojbYHgjaKKUJIPD8hv7aKYHKIO5AsAZpCHGgj1dO\n6B1Przruv2gTxpBt4Hkr7hsxgJV2zLNmRKagSJ1KgaiTsNpJeLgc4nsWWaZH8IpAzXc4M+3huTr0\nSpUaagoYpoqaq8Ot85USa1FCmGYoBQ1lb9KfuuHoi263w7Uszlf9oWOebXHugPpMGfaJ6iy89keg\n80x7YoURK9WguwxZfkwEskx7Y4g+3nkCaQBpBD/83693IjhEGEO2gXaQkGaKNNPe1WonJtlGy1dA\nqqATDv9AnMS8d7fNW681yNChWJK3bn7ci7iTpx/M+S5rcUKcW0gR6JJRVdaQZuRuE75FaUaq1FC/\npyDNENhVyLdbgiRFwdB5u0mKLTLS8xpegSyFZx9pbWvtHlTmdPjYeQKWo1/EKsk/xmB52nhlA2+e\ntoBT1t7Yg9+Fiz8Aldmtz9d8AK1HUDsNU+cP4i8EjrEhSzPFk9WQVpASJxlZBo4tLLcj4kQRxhlx\nmvEqHUiSDB6uhJydiUg91dfEinDyRqvHg24AorjbDqk4uivro17I3ShgLUqZIhf5BU40NutIRclP\nkGX9rH1djtTFsYSPNSojEdCVUtzuBERpxmKjQtmx6SYpS80uvm2/dNyb4QBJQvj2L8PqPbj7Teg8\n1cejDoid62TButGyHB1WZhvSidII1u5C1ISVW3pT4NN/FuqnwR2QPD74/+Dh769/feb74OM/eSAe\n3LE1ZPee9egEKUmmWO1oL0wEukFCkmnvei/ZTWGs+L0ba5yZKXFmrkRJhOetCKXgvF9CLFiJkr4R\ncywdZgKsBQlT2FiWxVTFoVLavDsoIlys+Sw1uyy1elyslrjXCVFKcbk6OmMiIlyulfV5m13OV33u\ndQJsES6bFIrDxYNvQ+ux1rl6K3oXMgnyj6H2xAbJbO2VbUkGQVPrZd/8Jfj2P9NpG9//F+BTf1Jv\nJAwaMYBH78LpN/VGwog5doYsU4oHzwPuPA36X8dJRpQowmR/EzODWPF4JaTdS7ntCFMVvWv3tAnn\nZkqcqXicLq/nZBWa2blcWH8ZRfO691fbeaKpLgwfdWvhwfPebuvz7nYH03AAtB7qj25F62IASayF\n/K1QLxkuo1JIekAAKFi9Dd/4uzC3sP74G1m7bwzZKHi6FrHaSfreVpRkearFaM7XixVJFmNbFmmq\nmK65WAhP1iIaFWeTwRIRJsGn2aodj+GQsHILbv6WLkvqPIXqaR0O9la1N7YfFOFn2IIP/632yrai\nemJ/zvcSjt1baLObYFuCmw+zsERIs/UdyVGQpBCnGWu9hGfNiCBOSdLd9cHfir4mJsKVWhnXsg6k\nR3qhiXn5CDA37z57EL3ZDS+huwzf+Rda2C/PaOH9/V/TuWFxT3tVe0blCbOB/h+swewCzFwe/rGp\nC3Di9X0438s5dh5Z4QBVSjatXoJlyUiNGOQbQkqn7mQK2kFK1Xe27Ki548dUirv5eLVCdPcdm6Vm\nl9udYKRi/91cE1vMu18sNiosNbvc64QsGrF/vDz6zrq3pDJAtNfUF/D36cWexRA2dU7a6m14/9fh\nk38Cnn6Q71qe0om41ugnKMExNGTTVZfrDzu0A51CkB7QQA2lIEkVYZySZtaeS48kF9cH0y8GBz6M\nUuy/UiujWE/x8PPCcktGd17DDhlMm+g8g8fv5rrWCEgjnfn/5H34+t+GcA0+/ef1buUBc+xCS1B0\nwowkU6SpIowPRtvJS3ZxbB3WtnoJ2R5dQc+2Ngn7vm2NXHT3tjhHybaGGjUaxsTpN3XYEXd13eR2\nwv6+oPQuaPO+9sR+6+/Cb/5NWL4xwnNuzbF75T1Zi3BsoezZOLbO0zoolNJvmGXPhjzENGyNUps1\nRKV0orLhBdie3pn87v+7vms5SlSidbcs0gbt+m/Cu78KUXf05x7g2BmybCCSzAo36aDOrbToH0YJ\nz1sRj1ZD4u3KBo45D7ohHzW7xPkFKwbAXmt1zQ7pdoQt+O1f0IXgcQAc8GtLpdobCzu6euAAGash\nE5G/JSIfiMh3RORficj0qM85W3f7I6osUSMX+jcSpfC8ndLsxTxeCXnvbpsoNp7ZRqY8J2951CPO\nsv4U62l3c8qKAbj/Lfja/wVLX4Vn1yBqHfwaLEcbs/YT7Rke5KkP9Gyb+Q3g+5RSbwEfAX991Cc8\nNeVxcko/yWGsDtIh66OAONF1nc+bER897BKbKd5D1FyHhXqZKMt4d6XNchj3p1gbNhA04dpX9edZ\nkmft5zuWB4Zo42XZuiZzbvEAzz1mQ6aU+ndK9eskvglcGPU5Hdui4ln4znjf1TOl6z2DOKPdi1lu\nmSneG6k6Nu6A92WGlGzD2l1tuNyKbrWjUrQRO2BDJpZuwPiDXwT7YBMixu2RDfJzwL/Z7psi8kUR\neUdE3nn69OkrnyRTimY3IUwU426nlWa6/1kQZTxcDsyg2gEKTSzKMup5OFmEmYYN+FPrn88tHnhY\nB2gv7Pz3w4/+DV2DecCM3JCJyFdF5N0t/v/0wM98CUiAX97ucZRSX1ZKva2UevvkyZOvvh70TMai\nd9i4cZ2iZY/Q6hmtrOB+N+yHk4uNCgv1MnGmhw0bsX+dNFPcsuYIZ1/X2+Krd0jmrnJz8WeI/ZmD\nWYRThcYFmLqsefOXNAAAD29JREFUW/wopTvS/vYvwjf+ntbt0tEO6Bm5/6eU+tyLvi8ifwn4SeCz\n6gBcEhFhpuqy2kly0f9gbwqdrKo/Oo5umV32dKfZyOxg9pkt6XFzp8taEys0s16aGbF/gCjLaMYJ\nnQs/xuLUOewn77M0/RaBP8eJ7j3c+99ktLuXAn4D/Lo+j2XD7d/WtZ4Fd39HG7KPfX5kqxj3ruXn\ngb8G/JRS6sASTy6c8DnZ0AM/7AO6JwSwBGwLqr5Nxbc5M603Hupl3dp6q3Y9x5WKY/eNWEHNdThp\nevwPUXZsFhsVUhE+qL/J9y78BIE3zfzD36Ierw33CxsJ1no77HOf0YcefHvzjz367nDVwf6vYqz8\nIlAHfkNEvi0iv3QQJxURrp6rMF11cB0L9yXPgsr/vezYi88JjgWWJfiuMFt38T1be4Wi00KMITO8\nChXH5kq9TJbGpGnMhfv/kcbz93QPMgRkVJskeWhR6DT+DKze1buomxht5DPWWkul1MHu0Q6w2knw\nXQvPsYhQKFHbdoNNHMhshReCICgUiQtKFG6kj72Moue/Y4ElFmXX5vKpMkmq8D1rbFOSDJNPkinu\nd0Pd8cIr8/jsD1NP2pSiJvSW81SMUSC602zthB4R93v/BB5+W1cUhC049YbOLYN8hNzo3qiP3d2j\nlOLJWsjNx10er0VkKsO25IXGyFKgLIhKqm/EEkchareTtvX/kit5mZRFo+LgORZK6fbaSWqEbMPO\nSTLFUqtLkGYstN7nY+F90socS5e/QOjWdEqE6zOaVIxcEzv/3+hZmEmg22hPX9KTlpoPtCE780l4\n/cdHcP51jl33i6fNiOfNGEuEOFUU2wu2lXeo2OLNy04FIog9RVDWv+AkghPvzBsrKFr5lEs2p6bX\nh/IGUcr95ZAozhCBqarLmYHvGwzbkeT1p/O1Mo2SDypgUYSbtVPEtkfJKY12x1Ap1LPrPJz7JH7c\nZtarglio2XnuT71B/RNfYOoAdM1j55GtdfRF9T2rv/sVp1m/GHk702GlDIX5uzVirgUVz6Jcsrly\nqtJve62U4t5zbcT017Dajllpj3a72nA08G2LN6arNDwHLv0Q2C6VuMkbS79CrfsEamf1FPFRaVRZ\nglq7S8cqc/v8j7Dsn0YB96jzNMro3H0HOs9Hc+4Bjp0hK7BEmKk6uLagMt3FNd1m4Mi6JgaSe1VF\nmLkTPFt7YX7JplF2hvLXwjjbsnC8FRw+Q9ZNUlbC4QqEdpywFh2+tR4n+uko9dPwB/4ylKpYwSo4\nHsRt3QDRq7H/t7vO5rdKNebjB9Qci9vly3zXPs+zzOFU8JCz974G3/pHutniCDl2hmyqsh5Nlz0L\nS3RaxIucq0ITcxKhFAhuJEOa2Yuw0DuVji1USxa1sj0k7FvW1q2E7HGXHWzBo17ErbYu3gZtxK63\nejzshqYq4bDg1aH1RGtU5Rk9jzJLtFbWuABujX3Vy9wSnHgd+8RV5k+chvIUqVi4lRnOqaY+U5rA\nnW/u3zm34Mgbso032Mkpj5mao1tcI/glm3rFwbOLSUabH8NKwYnXNTE71cbMTl+8SaAfcP0dM0gU\nszVPG68cz7Gol4elShGYrR2+usLLNZ+aa3O7HXC3HXC91cOzLBZMe+vDw9odbcSK3ULbA6+iPzbO\n6h76jtaxdoegzUV+ncWBUl336p++iHJKPDj1B/TEpMossVtnxRloZhOs7cMftz1H2pDFWcZHzS7t\ngTY5UaZYs1Iunva5crpMxbNRSndudWydIFskrxbYmeAmw0bLTgUnefHNawu4+eOKQKPsbFlec262\nxImGh+9pj+3iifKhzCmzRZiv6wTLZ2FEphSLjfLIO8OmSnG/E5AOPHdJpo+ZcqUNWC7Yru6XX6pr\nI1ZqQO2MfmH3nkGpCuVZsEuApY3SCxFwfHBKOsG2chLqZ3VKReM8qjzDvcs/wbM441R9mrfCG9TS\nNrfLl1kujNmI6y+P/K5lqhQ3Wl3m6xVcS1hqdkmVQinFSjumHSRkSpGkuohcLMG29OdRmg9eRhul\nwcwIJ9/lLI4VpUdF9r6u6dTfsPL0DscSetFmPcwS4eRAe6HDjJ6UtP5EtOKU2dJoDVk3SXkaxHST\njPlGGaXgeqtLL8mY8hxq7pF/Ge+cqQt68AfA2U/rj93n2nA9/q7OwJ+ZzofpivbcLAtwdQiabezC\nItqAnXhd/6xbhsosnH4L5uZh6jxq7ipRWuaUbXGuUkI+/gXm3/t1bnjniCwPpi/CpT840j/7SL8C\nXEsPxbjW7HKtqXuXF9N/wiCj3UtpVFzavQQRIYwzpio2capDUivOUArCJNNaGkVSq+A6QhBnSLpe\nOymiPTtLhEwpLEsbKSs3ZgCll5URHGIKTcy3bebrZe50Am639aDj2dLoQuG663C55nO7HXBtrYsC\nwjTjtbpvjNhGROCtPwk3v67nW/pT8NbPwr1vwfJNPTDk2Uf6YxFQiKWNVfWkTqrN0nzIRKq/V55D\neVUtH/hTcO7T8AM/3z9mAVeUWh96MzuP/UP/LQurd7G8MjTOjfzPPvKvAteyuFQt9w3Z2UqJimP3\nd98cS5iuurrgSOnNgGYvJYxTgigjiFKSTPqhZsm2KLlWPhczQTlamHdsQSmFbQmWJYSxIhu4uJWS\nhWMLc/XDp33tlKdBnM+y1OHkfL3MjVaPp0HEjOeMVCebKbmk+Sg6gMu1MtPeZD2XaaZoxQnTA0Y/\nyRTtJNnfv6VUg49/Yf3rx9+D59eh91wPJUlz8d9ydUJrqaG9uHOf0TWRK7d0cmsaQanB2ut/lEf+\nORYefR3n/GfgU3+aZUo8a/ZYqJf1a37jtXc8rBML+/c3vYQjb8jCNON2e30c1sNuSNm2+wN6CwSt\nY52cKnF+Tlhux6y0Y9Y6CZ6r88w8R6iXdSb+TM3hyWpEnOrmiCjtbc3VXaZqLq1u3E+4tS2h5ts0\nKq4eeDKhFOPnCk2s0MyUGv0YuCRTPB9I/XgexEx5DvYEbTI8DiIe90IuKMVJ3+tn5YdpRnXaHp3W\n2HqgxfYkgOop4Kk2Un4Dzn4KTufj237w57Un99u/qI1eaQqmziPTF+lNvcnS6z/O4sXXacYpt9sB\nNdc+2N6NL+BIG7Iwn8SdKsXHpqq4lnCt2eVGq8ulio/dFdIB4atRcfqh31zdY66uNasgSumEejq4\n51hMVRwU8LwVIyJD6RTVskMj/3/U0GHy8CvXLuLqEZJkqq+JXckN5+12wI1mj/lGeWKM2ZmyR5Cm\n3OsEpJliNU4I0oz52og3TKon1yeMOx5Mnddem1vWgr/twsKPgj+tu80ufnbo1xsnrzA//4e50e7x\n3ZU2oDuRzNcPz3N/9O62AWzRMxjP5+EkwNVGhVutAN+xuHKqzEonJk4UVd8eyjEbxPdsfG/zLuKZ\n6RIPV8J+mVOtbDNTPdJP6VjopSlBrokNhmB3OwFBklF1D98O71ZYIrxWK7PU7PGwFwKwUK/orPxR\ncupNXcD97KP1ieOzCzC3AIuf07WSrg+9VQjbm3+/+YCG5zDjOf0cwstV/9AYMTjihsyxLBbrwzlO\nbq7xFMdOTb36MIupqkvVd+hFKa4tWxo7w96puw5vTldxBryWmZJL3bWHjk0CmWIojSQ8iNbdtgPf\n/xdh6hJ89G/1hkDjHFz+4eHdRK+mDVocDP9+9QTLYcxyuF7BcaPVY7FRPjTP/5E2ZLC1drOfeo5j\ny6aEVsP+s9UNc1huop3S18SyjPl6hedhxL1882LkDSNtB17/Mbj6OV2y5FY3DwixHZj/EfjoK/TD\nDNdn5dwf6mti8/UynTjlRrvHUrPHYqOCcwiqUMwdaDAcEE+DqK+JNTyHumtzq93jQTdk2nNGnlgM\n5A0Qp7b//rnP6GTXpx/qJNjTb+JaZaaCkMs1rYk1PIf5WpnnYTz2AT4FxpAZDAfEmbLHlOf09dpC\nMwvT7GCM2E6pn9H/c2pAza0M/UjDc0av7e2CQ/TsGQxHGxHpG7ECS4SyY7TVvWIMmcFgmHiMITMY\nDBOPMWQGg2HiMYbMYDBMPMaQGQyGiccYMoPBMPEYQ2YwGCYeY8gMBsPEYwyZwWCYeGQSx3iJyFPg\n9piXcQJ4NuY1vApm3QfLJK77MK35slLq5Mt+aCIN2WFARN5RSr097nXsFrPug2US1z2JazahpcFg\nmHiMITMYDBOPMWSvzpfHvYBXxKz7YJnEdU/cmo1GZjAYJh7jkRkMhonHGDKDwTDxGEO2B0Tkb4nI\nByLyHRH5VyIyPe417QQR+VkReU9EMhE51NvsIvJ5EflQRJZE5H8e93p2ioj8IxF5IiLvjnstO0VE\nLorIb4rI9/LXx/8w7jXtFGPI9sZvAN+nlHoL+Aj462Nez055F/gZ4OvjXsiLEBEb+PvATwCfAP60\niHxivKvaMf8Y+Py4F7FLEuB/Ukp9AviDwH83Kc+3MWR7QCn175RSxbC/bwIXxrmenaKUel8p9eG4\n17EDfgBYUkrdUEpFwP8D/PSY17QjlFJfB5bHvY7doJR6qJT63fzzFvA+cH68q9oZxpDtHz8H/Jtx\nL+KIcR64O/D1PSbkxpp0ROQ14DPAfxnvSnbG4ZnndEgRka8CZ7b41peUUr+W/8yX0G75Lx/k2l7E\nTtZtMGyFiNSAXwX+R6VUc9zr2QnGkL0EpdTnXvR9EflLwE8Cn1WHKCnvZeueEO4DFwe+vpAfM4wI\nEXHRRuyXlVL/ctzr2SkmtNwDIvJ54K8BP6WU6o57PUeQ3wGuisgVEfGAPwX8+pjXdGQREQH+IfC+\nUurvjHs9u8EYsr3xi0Ad+A0R+baI/NK4F7QTROSPicg94IeAfy0iXxn3mrYi30j5q8BX0MLzryil\n3hvvqnaGiPzfwH8GPiYi90TkL497TTvgDwF/HvjR/PX8bRH5wrgXtRNMiZLBYJh4jEdmMBgmHmPI\nDAbDxGMMmcFgmHiMITMYDBOPMWQGg2HiMYbMYDBMPMaQGQyGiccYMsOhJO+L9WP55/+HiPzCuNdk\nOLyYWkvDYeV/Bf43ETmF7sLwU2Nej+EQYzL7DYcWEfkaUAN+RCnVEpF54EvAlFLqj493dYbDhAkt\nDYcSEfkkcBaI8iZ/5A0WJ6Fm0XDAGENmOHSIyFl0b7efBtp5lxGDYVuMITMcKkSkAvxLdO/494H/\nHa2XGQzbYjQyw8QgInPA3wR+DPgHSqn/c8xLMhwSjCEzGAwTjwktDQbDxGMMmcFgmHiMITMYDBOP\nMWQGg2HiMYbMYDBMPMaQGQyGiccYMoPBMPEYQ2YwGCae/x/4+b5ZGT5pvQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 324x324 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.clf()\n",
    "fig_mx, ax = plt.subplots(nrows=1, ncols=1, figsize=(4.5, 4.5))\n",
    "ax.scatter(X_np_data_test[idx_inliers, 0], X_np_data_test[idx_inliers, 1], c=cm.tab20(X_targets_test[idx_inliers].astype(float)/15.0),\n",
    "           edgecolor='none', alpha=0.5, label=\"Normal samples\")\n",
    "\n",
    "ax.scatter(X_np_data_test[idx_outliers, 0], X_np_data_test[idx_outliers, 1], c=cm.tab20(X_targets_test[idx_outliers].astype(float)/15),\n",
    "       edgecolor='none', alpha=0.5, label=\"Anomalous samples\", marker='x')\n",
    "\n",
    "ax.set_xlabel('$x_1$'); ax.set_ylabel('$x_2$')\n",
    "ax.axis('on')\n",
    "ax.set_title(\"Test dataset\")\n",
    "ax.legend()\n",
    "plt.savefig(save_path_x, transparent=True, bbox_inches='tight')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Z Test dataset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 118,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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1k8d39ZGO6ThewF9fWGUsG+P160UqbYeW7WJoCn0Jg4im8tTefq4kDS6uNKi1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\nEKWk1ayAaKiC3yiUo5pns9oJ+MqFTfwk5ermgDBOWWr7HBm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sBaC1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\nSUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 324x324 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# create Z dataset\n",
    "\n",
    "datasetZ_test = sample_GMM(X_np_data_test.shape[0], means_z, variances_z, priors_z, sources=('features', ))\n",
    "save_path = result_dir + 'Z_gmm_data_test.png'\n",
    "# plot_GMM(dataset, save_path)\n",
    "\n",
    "Z_np_data_test = datasetZ_test.data['samples']\n",
    "Z_targets_test = datasetZ_test.data['label']\n",
    "\n",
    "fig_mx, ax = plt.subplots(nrows=1, ncols=1, figsize=(4.5, 4.5))\n",
    "ax.scatter(Z_np_data_test[:, 0], Z_np_data_test[:, 1],\n",
    "           edgecolor='none', alpha=0.5)\n",
    "ax.set_xlim(-3, 3); ax.set_ylim(-3.5, 3.5)\n",
    "ax.set_xlabel('$z_1$'); ax.set_ylabel('$z_2$')\n",
    "ax.axis('on')\n",
    "plt.savefig(save_path, transparent=True, bbox_inches='tight')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Testing"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 119,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1.3457366 1.383152  1.8212433 ... 0.7033718 0.5848236 2.8382854]\n"
     ]
    }
   ],
   "source": [
    "feed_dict = {x: X_np_data_test, z:Z_np_data_test}\n",
    "imz = sess.run(q_z, feed_dict=feed_dict)\n",
    "rmz = sess.run(rec_z, feed_dict=feed_dict)\n",
    "imx = sess.run(p_x, feed_dict=feed_dict)\n",
    "rmx = sess.run(rec_x, feed_dict=feed_dict)\n",
    "score_dz = sess.run(mahalanobis_dis_z, feed_dict=feed_dict)\n",
    "score_dxx = sess.run(x_sigmoid_real + x_sigmoid_fake, feed_dict=feed_dict)\n",
    "\n",
    "score = score_dz #+ score_dxx\n",
    "score = np.linalg.norm(imz, ord=2, axis=1, keepdims=False)\n",
    "print(score)\n",
    "def zmar(imz):\n",
    "    return np.linalg.norm(imz, ord=2, axis=1, keepdims=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 120,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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Q4fp+EZNE8spcg6NLbf7ry/O4QUwpq8SoXT9CSpgaUN035uoOYaxiPw1HpeTL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\n0V54sGoAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 324x324 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "## inferred marginal z\n",
    "fig_mz, ax = plt.subplots(nrows=1, ncols=1, figsize=(4.5, 4.5))\n",
    "ll = X_targets_test\n",
    "ax.scatter(imz[:, 0], imz[:, 1], c=cm.tab20(ll.astype(float)/input_dim/3.0),\n",
    "        edgecolor='none', alpha=0.5)\n",
    "#ax.set_xlim(-3, 3); ax.set_ylim(-3.5, 3.5)\n",
    "ax.set_xlabel('$z_1$'); ax.set_ylabel('$z_2$')\n",
    "ax.axis('on')\n",
    "ax.set_title(\"Inferred marginal z\")\n",
    "plt.savefig(result_dir + 'inferred_{}_mz.png'.format(DATASET), transparent=True, bbox_inches='tight')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 121,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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NkrpF0U7RCX2avkfb99nXO8hgOsNwOkfRTrG3MEjZbfHc3DiWbkRGaXU+3bmk\nx06haYKSE6UbEQJShkXGsAmVpOR2APjCuTfxZcj7+/cy3aky3lwib6apex4t6RKoEENouGEI+Lih\n5FBlgd2FHl4pn6HsNdGFzpb0AGWvxdfnDvMPNj+0EU0BQzPZl/8Ab1af4kT9eQD25h6n197E6cY3\nGG8+zzjPowmdHdkPkLfWFpkfs/5EcRixSirmFnNvzxZszeB4fZakblO0snhSsuQ2EcAD/dt4evo0\nSgksLfrqa16H7dk+Xl6cwvEl0+06JaeNVNEoPZSSc0GVHjPDB0Z2sdhpMVVrYpsWXig5UV0iaZiU\n2g6OH+L6koVGGUvXEVJHKIUhNALlI5XC8QN0Iai4DgOpkIrToZhIEUpF2W1R91wO9o8wnMry7Zlz\npE0LTUDVFUglUcD9A5t439BWdO3Cj6wvkeFg3yibMz0cqy4w3ohsFqam8VDfFtqhx0SrgtCg6UVO\nAKFUoClGU3nmOo1lY7eh6WxJ93K6vshsO8piGyKRhEih0EOBqemkTZupdoW7C8NsSQ+S0pOkdJt5\np87R6hyO9Gn6Dj+y+WFS5q0fwV8aCiOEhiYMtmYe443ynwGQM0djYXEbEKukYjaEPflR9uSjFfMq\nXotjtVl8GbIjO8BUs8bJaoXZdn1Z5ZMyLJRSnKgvsSPTh6HpVNwOpU4bXegkuzEZM606f3H6LXqs\ny+MkXlucIaEZ+IFaDthzggClwNZ1AiXRhMAPo3t2/IBAKrwgck+1NJ17+oZQwGy7zrZskd09/eho\neDKk4bskCyZ5K8FAKsP7Ry5fTMnQNA72jvDSwiQP9G3ClyFOELC/OETOSpAjwcHeUZbcJhONKofL\n87hhSNq0uLswdJFnlFQKT4ZU3A66EIRKoaMTSkmIopBMkrdSWJpBj5XibGOJ3kSCdhByvDbFQqeO\np3w0IfjG3DHGm2V+ft9HSd1Cm0aofA7XvkErrLIr+x7mndMcqz/LzszDlN0onZBAUPUmWHSO0Z+I\nl4/dKG6SW+1NIRYY72B6rDTv7d+5vF12OvQnsoykenBCD00INDR8KSlaGYQQDCVz7M4N8po3Q6BC\ndKGRNRJYwuR0rcS27OWuoG4YoCmNpGEux2d4YUBCN0joJk3lLge1KQmmMtClRqnTYTCdYTSdJ2mY\nKKXotzN878gO7h0YRhcaR8sLZFaMzu/pu3L6jEeHtpC3EhyvLpC3E0y36uS61yYMgw9u2slsq86v\njD9F3fUwhEYhleTVhRn29w1yqmvod0IfX0oqHY+EoROqAInEECaGJuhPRNlwE5pFyw8Qqh0tKtUo\nM9up0ggiQdOfyKAJjYl2idfEoHgWAAAgAElEQVTLEzw6cGPrnt8IE61D1PxF9mQfoz+xlT57C29W\nn+L5pT9iNLmF3bnvI2sOLaunQKM/cdctq1/MxcQCI2ZdkUoy06niy5BNqeJFLqtrZXd+gFdKk9yV\n7+dMo8Rip4kbhOT1NLN+ZC9IGiYJ3SRj2FiaQcawUUrhBgFeELA118ObS7PLZSql2JTJ0/ECUrqJ\nKXQyhiRQkryVQCrYZOSZqFdpOT6armHrBjqCctOhYCXp+AEyVIzXquhC4wvHD/PM+Fk+te8AScPg\nRGWJqutQMBMEQeSplTAuX6NbCMH+3iH290ZCpem7nKqV0IVgV76PhGHypbPHSOomwhJUvQ6nqiUm\n6lVeWZhmKJ1islnFlxKBwBQGLS8SgIZmkLVMUrrNcKLIktOi6flUnAohIb2JJDuzgyw6DTQhMISO\nrV2o45LbpOk7HKpOUfPbDCUL3J0fvaHvcS1sTt9DwRoiqec403yLben93JP/EJZQ9CV2UfZq5MxR\ndmS/l3PNZ0nobz/FfcyNIm5KapCbQSww7gCavsPfTL9OpRsjkNANPjZyL0PJ61uu1dINPrn1IK+V\npiiYKV5bnKWQTtKbSDPTrnG8ssi9fcPkzAQFK4lSUHdcqo6DoWkcD0skxTmytsWpaolSp03WTFCw\nbI5XSlT9DqBImRaPj2xjLJvnQ5t3cry8xJ8ceY3TsoKtG7Q9H0+GaEJQbbos1OeW05ondYOm6wEl\nZpoN/s33fIiOG9DsLNJ0fb41eY435ud4eGQTi+0WWctmX98ASfNyAZIxbQ72jSxvh1Iy2ajSdD2m\nmvXliG2EQhcatqEzYOW6QYqSgmUw16mjgFApDAwe7NuMIz0CJWkFUV4rXcDJ2iJ+GLI7P8yR2iRK\nsaz2K1pp8maS/zL5Mq3ucrJnm4uMt5b4gU33X19jWCO6MOixhploHeds8zCudNiTfZDt2ffzauVp\nlFKMJLdj60m2Z5+4KXWIWRuxSipmXXmxdGZZWAA4YcA354/xY1sfue6yMqbNY4Pb+frkGRquR8P1\nmGzW2JTJszmTYr7RZqJeJwhgutupakJDQ5I3FM9OnwMlUEqRMUymKos0PAcpIztCOmGSsE0GExl+\n/K57SZsWW7I9aErwuTdfpuY6NL2ut5KCedlkLJun7rm0fZ+O5jOQTgMwUa/y1bOnOFW9OL3N6wuz\nHFlaYDSbW97+8b0HyFhRLIRSijcW5jhSiuIp9hb72dc3wKsLM7y1OM9ko0Y78Jd/ohJoeR4118E2\n9EhAIOmz0jR8F0vTsXWDe3qG6E2kqXs6Q6ksr5WmSekKV/q0Qoea7zCQzNJn5TnbLKGUT9ZIsb8w\niqXry8LiPDPtCjOdCiPJm5d4cCx1F77yONc8TCdo0ArroOC+4hPY+up5u2JuLZaWYqwbF3O7EwuM\nO4CZTvWyfWWvRSfwSK6SDwmiTvNYdZHT9RIJ3eDe3hH6k1FHfLK6xEL74pXuppo1ehNpFpttBIKa\nEwmBIFSMZtI0fY+K24lGzlJiICi12rS8yPtJIJCaQnM1jITO6XKFM5UKgQzZ0dPL927ezndnp/ja\n2VNoRALHDyWOClhstfCVxA0CDE0jlBJd07B0ndOVMjXXoeX5VJwOVafDVL1OyjSZrtcpJlMMZzL8\n5bFDPDA0yq5iL28szPGd6Wit8qV2m787fRJNA00TOH6AIXSU8kAIDKFhCIFUoKFFdh2hYQi9q1rS\nABF5VCkBCg72jvBGZXrZ5djWTFJGAkvTWeg0EBjcX9xK1kyglGKh47DonKEVdOhPZpZnUxCpzbiJ\n/bYQgu3p/bSDBgvOBACP9H6UjHFjS8/GrD9e2Gai9eZGV2NNxALjDiBnJmn4zkX7Erp51VXxvjV7\nlteWppe3j1YW+JEdBxhKZZlp1xlIZii7bVbmGltstxBoSKUodxwCGeKHIbPNBgnDQKEwtagjdX0Z\nCQupiBQvCqTElJKm53JkYYG/PnGUtGnx7Ylxnty1mx/auZfTpRI1xyGUIKSgHfg4XkDKMmkGkSG6\n6nQoptIMpjJM1mpMNWvMNhooQBeClu8hpSJn+RxrLvLKzDT9qTTfHh/H0nXStsVQNkPH9zlViWYn\ni60W/akUbhCSNEzqrosKQdN1kpaBrmkkdRMZKrRQJ6nrTDcaGJqBEwR4KuDZ2XOcqVVIbrHoT2Q4\nJuYjfQKwNzdEXyJNxW9TtFMkdZNO6HO4OstUu8b2TJHJTol64LAzGyVF1IRgNHXz05p3wiY1/0IW\ngMnOSfYYD97waoIx68+dopK6Mywt73IeKG5Fv+TH/WBx6xXXXOj4Ht+cOcNsqxGNYIkS6728GKXU\n7rGT5K0EO3N9pE0LS9fpT2bYkx+g4bqcWirT9Fw6foBSCg2BEwQY3TQjxUSq6xIrzv8DQElFGEqa\nrkfCMJaTHHphyJdPHmckk6XXTlLQkuCD74UEnsIPJEIJ0oaFLgRKCYZSGQIpyVs20lc0HJdmx6Xc\n7qAhMDSNuUaTpXabpucx12hworTEYrvFG3NzHF9a4my1QtB15ZVde0JSN1ABJISJqekYmkYQKHr0\nJB0vJAxhU7qAjYnjhuhKIylMHE8SBoKG5/GNqTM02gE/sPketmR62F8cZizTw0Ayx92F4WVX5LlO\nnVDKrvouQZ+do+xGyQsNTefxgT03PX1IO2gs2ywe6fsoWzP7mGmf5ljjZa6RmDTmFqG6yQev97MR\nxDOMO4DRVA+f3PwQR2uzBCqKqdiUitxbQxmtZeHJkG3ZIobQ+NOTr/PS/ORyQsChdI5tuR4avstM\ns854rcZkvY4b+vSaaTKWzeZsDxPVGucqNdwgWM49FQIdFWDoGkP5HMVEkpbv0ZNIIWUbN4wCxMJQ\ngYTQVzQCD9ep0WMmsQ2DyWqNQEqajkfL8al2HLwgBBVluRJK4Pshw7kstq7Tm06zoxA9y5uz83hB\niC1MWr6HK0NMTaPiO1h65BIcKoWJxBMhLc/DDwOOLiySNA3agU/ashhKZVFEQYRRWnOBLwOShkko\nFRnTRonIbnLM90FTOGGAF4agRQtK+UqSDk2cMOD5+QkQm3m4bxvFZCSA9+QHeasyzfMLZwHwurEd\nadMmYZiMGf0M2AUe69/FPT2jly1ktVZ8GWBqxjX3AZS9OZRS3Fd8goxRIJ2OHCVmO2fx0k5sx7hN\niCO9Y9aVop3hsRV+/KGU1H2HL547RM2L1FW60Ogxk/zNuWPMtqPIZR2N2VaDhuPy2HCCvzj5FqFU\nXU+hGhnTYke+yBtzcxhopA0TPwwJpIqmDgr8MEQpkK7i4U2bSNs2T506RegpDFvghAGVtoMSClPo\neGGkynppaoZQSixdQxMaT58+Q6jkRSvyCUApSGhRIsKUaTGQSJPRLCZqVeYaDSxDJwhDwlCCUkgR\nBQh6gUTXBEJENoa254OIjO8agrbnU3ddGo6HiYamC5RQpAyToVSGu3sHmGrWWeq0yVk20+0aTS/K\nRSWUQhA5GOgqmkZJpWj5Pr5sRMF94Vmem51gW66Hf3Hf49i6wX29Y9R9h6PVefJmIrLhZC8sVZuz\nkhwsjl3TndYJ/ci+suI8J/SoeHWeXXqT9/ffx0AiUmdNtOd5oXSYDw8+RMHKXlTOptQuBhKbsbRo\nJiOEYDixHUMk6YTtWGDcBsReUjHXhVKXL0u62r6Vx/5u8jivl6ZJGiaaiBLpvbg4yZlaGSEFmhK4\nfogX+FQdl7rjMdtssq84QMqwqbpRDig3CDhdqTBRr5HQDJQCC50QFaksVNTJGGjMNRp87tVXMNEx\ndY1QKjw/QNe1KOYilDQcD9mdnQRh1PmGUsMUGgtBi1BJLCNKfa5Q+F2VjdAig3IYSmbqdZZqLRZa\nLWbbDVKW1c24G0WFm5qGbRpUXWc5Ut0JAvxQohSkTRNfSjblc6Ci9OSldpt9A4O0PQ9fSFw/5IWZ\nSEXX8FyKdhK9O8o7r4bThYZSkd427KpvOr5PJ/DJ2zZuGFBxOyx0mnzmlWf4xLa9fN/YLj4wvJvH\nBnbghD7PL5zlZDf7ra0bfHhk7zWFRagkX5l+lbSR4IND+zG0yMPqy9OvUuxGmH99/mU+OPggjvT4\n1sJrFO08qVVWSASWhQXAeOskxxpvoroquoHECAcL713O3huzMcSpQWLWxKnGAmcaC3xw+O5lm8TR\n2ixznSrvH9y96g9ZCMFIOsefn36DtGmxKZ3jWzPnqLmd7ghZYAodKaPRi1DR7GO8XmW+1WQ4mUOh\nSJomS50WhtJoei6O8mh6ARog5LI9dzm1eTl0kGFkeBbdeiQMAxEqlJQESi13rOevFd0NrZv3SUpF\nQjeQAjQRlWFqOjuKRXb0FCm32zhuwHwzyk6bMkwsTcfBp2AnMHSNnkQSU9fQlUbGtsnYJmcrVXQh\nyVg2gQyxNZ1yq40SirRp0ZOI4kokEPiSkttmod0ilBJT0yi3Oti6jpQKJRQ6IvqbKH7FlSGBCggB\nhcLRdJyghaFp2LpOyWlxpLzAnkI/W3I92LqBrRt8dNPdPOJupRW4DCZzawrU04XGnvwozy4c4+tz\nh3i0/y7+duZ1WoHL4wN7yJtJvjr/In8/910Aeu0CHxp8EEu7uorLCdsXCQuABWeG6c44Y6lt16xX\nzM3hvA3jTiAWGBtMO3A51VhAKsWHR/Zxoj7PM3PHGEsXkUqhXaEd3dc3yn19o3x3fpzTtRLNrl3B\nCyWBlDhhsKz+EQiaXuRZJKVC2oqa5+CGIV4Q0vR8ZKhwpEJTLLvJihWNOJDd3haxbMzWiFRjacui\nHcrILkFXWETzbBCgtAvG1YRhMJbNo+kCT4ZIpbh/eISfOHiQ2WqdP3vjLU4sLOEGIYam0ZNMohuR\n51bV7eAGgjAIMTSdtGlxcHiItGVFwlbBcDbLqXKJqWodPwxQGpi6Ts60I6EYBNRch4bj4ftRCncZ\nKqSMjPO6pmEZOk4YcD69lC9DJJAwTAIV4iGpOS6WEXmMScNcNnRPt+psyV3s+dRjp+ixry/N+d35\nKCHgswvHONmYxZU+n9r6Poa7MRubkoN8t32YnJnk3vzOawoLgKpfvkhYnKfiLcYCY4OJVVIxa+JA\nzxgAzy6c5HdPPAPA5nQvHx3Zf5H+ejX+wfZ7eHFhoptuGzKGRTbfx2S9CsonFNGIXxCN7EMUYRgy\n32yihKLleXhelBjQ0o2ok5RgGwZ5K0HTjzylBJFgOC9Aznf/SnUN4zIakWuAVNGMhu7/UgJKoBkC\nU9fY09vH3oEBBrJpCokkvckUD49tImWZHJqZo9Rqd2daYWQo73iMFXJYtk7RSDDVqhOE0Vrewlec\nnS9z98gAOdsmZZhsLRQ4uVgiDCVhGD27r0KWWm00TeArSRBKOoEfzb66P9QwVIRSYVlmJCwRpE0L\nU9OpeQ6hDJGajqWb+KGHQhEqCWgEUi7nu+pNpGh4Li8uTDLbatCXSPHw4BjFxJUFRt1zeKU0weOD\nOzG6M7GK22aqWUcpxUynTN3v0AoiW9WR2jn+bOKbWJpBn53jW4uv88HBB5dtGlcipWdW3Z82sqvu\nj7l1qDtEYMSKy9uAAz1j9NkXfrTfN7zvmsIikJJXFqc4UBxmW7ZI1oiWMH14YIx7+oYZyeQYTGa6\ngWlRxlgVKnSl0fQ9ZKgYTmaxNQMkeF6IH0QjfimjVBkaGnkzgSl1NClA0p2xXMDWDRKaTsq0SGkm\nltQRAWghmGikNQNb0zGkoMdMkLNselMpxtJ5Zkt13pqa4/eee4mvHTtFtd2hJ5kka0cpzaWM7Cgt\nz2c4Gz3LsJ0hIQ3qDRfXDSnXO5yeLfOJXbvZ2tPDbL1B03WXEx8aSiMMFQ3Ho9p2otnECndSgVhO\n4xEqiR9G70FHI2VErrdZy0bXNExNi9RV3Xea0CKVWdIwEcBwKsvWbA9/cfot3lyaY7HT4mhlkT8/\n9RZt37v0K1xmtlPjcHWGv50+RCAlFbfNn597mb+Zfh2p4InBfSQ0k8+fepqnZl/l988+RUK3+Nld\nP8wnRt5HyrD5+vzLlNzaVdtMziwwlBy7aF9ST7MpGc8uNhIFsVttzNo5Wpul5F6IvH567igfHtl3\nxTgLpRRfHj/KuUaFJ7fezU8ls/zmm89yohZFdu8u9PFTdz/EmXKV33r1O1S8DiIQy5HLvpJ0goBq\nxyVtWJS8NoG8oL6SSlF3nShQTtNI6xZhoAiEjKK0iVxp83YkAHSh0WMnqBsuZ5wyQkXjdiVBohBS\noZRGq+1zaq7EfKlJoBT9mRS5RIKlZouXxqfIJG1s0+Cuvj5UCA3XjTr3ADSlsVCLjOaVdgddEyQN\nAyGi+j515BTb+nqoNDq0HR9b11FaFOuBBImkQ8D2XJGTjRKmiIzuIVHgoRBgCg1di2JNgq67bs62\n6DWStKoehqYTqBAUJHWTrdkCUkRG6idGt/OJ7Xdzpl6i5l4cZNkJfI5WFnhgYPV1J3bnBwlkyDfm\nTvCfz75EO/A4WpvmrnwfP7T5QYaTPQwmCnzu1Nd4eu4IaSPFP9v5cYa66qkPDz7MG9VT5M3VZxAr\nOZB/mAF7mLK3SErPsCm17SKjeMzGEKukYtbE0drsss3ioyP7OVKb4dmFk3x15vAVhYYQgp35Xnbk\ne9lfjDKz/uL9T/BXZw+jIXhidAdHFhf5xsQZinYKP1QQuCihkF11kS40lFS4XZdZW9eRKho9J3UD\nKaN1Hzw3JNQltmGQBHQ0lFIcHB7mnz/2Hl6YnGaiGq3Q9/TJsxhS4J9XVSmFRKEDrh/gEVBTHQxN\nI5u00YBjs4sM5DIkTIOEZnB8folQRvYQU9fZ0Vek4/kcmp4jYerUnaDrvSVwg4CeVBIvCDlTrlBI\nJWk7PobSaHQ8fBV2vb0iw33H93lzao5cMkHBTNAUHl4Q4osAXdPJ2TYZKwoebIcBfekojiRlmmzL\nF1nqNDm6tIQeSiSw2OqwtafA3cUBPrZ1D4am4XTX+LgUJ1x9/3n29YxQ9Tq8Vo6Wu/3U9ocZSxeX\nbRZb031sTfdjajopw6YTXpixpIwE7+3bv6b2pgmNkeQWRpJb1nR+zC1ARcGqdwKxwLgN2Jwu8pGu\nzeK8TWOuc3X1wr7ixetCZEybn7grynx6vLTIX544zGyzQaXjRK6kUmJoGindIOjq8QOh0KRAKDCF\njmnokQeUEjihz4CdRksI3DCg5fksNVoQRivSaVJwZqnCj9yzj//vrcMcm1uk1nFQiGhG0Y3hgMiW\nEUoZDeMVSBVSaXYIgkgwzFYb9GfT5BMJ0oZJudPB0nWShoEMJKOFPBOVGpZukjIsWppHqBSeH1Jr\nO5iGTiGVYKIc5dwazmaZqtXwvRBNA4RAI/pEOaEU+4sD6IbGTLOBEopO4JM0TWwj+kl879Aw37N1\nCzOtBsVEkruKvfxv33yardkCDd+jHXhICX1Wmn98930kutdtzRXRtTPRfVawI9971e+z4rY5UZ9f\n3p7vtLi/GKmKal6Lv5l5lcFknu8bupcXS6d4eu4QHxiCbZnBq5Ybc/tzXiV1JxDbMDaYvflhvn/0\nwEU2iwM9Y3x4+MoqqWvx8twMOoJSp41CkbMTpLrrZCf1SOeeNMwoWE6LXHCRgqxuUbASKD+ybwgp\ncNwA1bVdmOjYhsFQOkPb83nm1FnKrQ6f3L+P3mQqMnxLMNDQw8iOoYVEIygApRAimt2EXfsE3f2O\nF9D2fGzDYCCdZiCVJmvZNByXequDChVJzaA3kSRj2GgqMrbXHZda26E3mVy2TaRMk209PRSTKXoT\nqa6Lq96N5VB4QcjppTI9dpID/UPYwsDSDCodh4Vmi7RpsrunFwONx0e28MDgCFO1OoutFovtNh3P\nR5MaBTNB0UqyNX/B2JyzbB4f3ooXBAQyxNJ1nhjdzlDqyoblitvmixOvI5XiH25/iO8duovxZnnZ\npvF65RxSST4+8gCDyQIfGTnIQCLPC0snCVasFBhz5yIR1/3ZCOIZxm3AagF6bycxXCfwSRrm8ghf\nySgCezCVZv/AEK4fMFGpUXMc6p6L1RVM7SAAKdjbP8D+gQGWWm0qnQ4py6TabtOsR8bySrODlwgp\nN9t87jsvsblQIAxCBlIpmm03slsAiPMxG9Eyp0KIaB3urlcVXY+s3nSSbMImDKMstTv6ipxZLLNY\na1FtdTgjyhi6Rkm1cfyApushNOjLpkiZJhnLotxsY5hG1xVZkEskKKZSjFeqaELDCQMUIZrQsI1o\nPe/TS2VCFHsH+qh5Lr6UVDsdsrrN2XKFp06eouP77B8cwFEhNcfphiRGsRgN112eWUw36hxanOf1\nhRlOVEtRhLuh86O77+G+/pFVvqULlNwo3fsPbTlIr52m146yCr9UGqcTejzWv4eDgUPeivZbmsFH\nRg5G0eA3aQGmmFvLnTLDiAXGbUIoJYcqc0w2q2S7C//kV1k/ey1sy/cw3ajTn0xTcTrUXRfbMEgb\nNpVWB98Pma7WqHVcBFH0tKZrFBI2/ck09w0NA5FqZzibxdQ1Xm95eH6wvC53teNg6lEK8vO2D6Rg\nMJeh3OpEKdA1Qda2sXSdtuf//+y9abBk533e93vP2nv33be5s+8bFmIhCYIESVAUJVokQ9lSJCul\nVDlWVZIPqdjJh3zJh7jyIVWxy5WUbNOx4lLsyHFZKkkUF3ERCYLYCGCwDGbf7r7f3vvs7/vmw9vT\nMyPMYCEBAaTuUzUY3DPdp0+f7nv+5/0/z/95qPg+3Sim3g7RaIIopei5TJbLeK7NfbumaAQheddl\ntd6m2QvJMokSkKSSThjjOOb1LAlJnDGSz+PYFkU/R5imLLe65F0HuyhQlsX9k5Ncq9dRFsYjS2u6\niYleXW916cYJjU5I0XMp531Sbfyo5ptN2pEhr9e6PbRlCpG8TWFlC4vjI+NcrW/zF9cu0YhCfrh4\nnUwparkcJc/jD86e4cjQKLOVe9uJH6yMsbs0jHfbxf/E0DSHqhODbTeLxU14llkV7eDnH4ZW3CkY\nO3gX+NbiRa62twY/X2hu8FsHH6Di3d3u4a3w2K7dNKKQ+VaTThRT9XOM5AtorTm/tkE3SZCZGiij\nLMsij4VWEMk3tzg826YwSLQz8wqplNiY1QtAJZfj0NgImZYst4zXkmfbHJ8a57cfuo9LG1t8643L\nPH9pHl9YCNtCCEEqFXObDf7xLz/OLx0/xOW1Lf781QusbLexlLH5CKUk7g8i2lKYKWyt6cUJa80u\n5ZxHN0gYzueouT5rnS4LW00qns92KeDo5Bj5nMtG0MO2LEqey/WtBnEcECcpa0mCQJDPOViOxX0z\nUzTDcPD+oyzDdW1qrk+tmGc7DMk7DsdGxjg4PMILq0torVnutsmUKajtJKboeUgleWpxjr9/4v63\n/My8u6wU7rZtB794yNl5DpePfdCH8Y6wUzA+BNiKencUCzDmc69tr/D41P53vb+c4/LrR0/yiV17\n+N+ffYZ6GOI7DtvdHt0k6XMHGqEMM52lEiFculHCgaFhtKGuzb5chwenp7m+UWe4UGCz3TUrir79\nyOX1LcbLJYQQHJ8a56G9M7y6sMYrc8vYCGYKZeY3m3jaZnehwgsZONpCSDPMJywLLTV7h4Y4c32J\nF28s0+wEhGFKEKYIS+A5Vt8mHFKtjJRWKRKp6WQRMpHEaUYz5+O6Np1uRKYUbRmTSUWUpHz0wG5O\nTY6TKs1auwOYVRKYeQ/QREmKpW2klDi2TaYUqVKsd7rYlkU3ThkrFPnU7F5c26bkeRwaHuHH/bCm\n2y3o1W2kt32vcf0PAZRWKK1wdlYrHxgiGXGxc/GDPox3hJ1vyYcAnfRWdGeQpmyEXaRWVL08p4an\neGNrnVhmHKyNvMl24q0wWSrzSwcOcm5jA6kUq812f4ZCGNuLAccB3TDGtx1kplhrdNg7MsQnDuzh\n4OgItmXxo2tz5B2HouehMQ62Doa8rgchI8UC9+2aZDiX5+WrizR65g693gn44fnr7BqucnV1i6if\nseFYFo628V3IYsnXvvc8rmOz3GjTDmNc28bup+9lUmMr0XcaEfjCJlEmQc9WAp0p0lTSyAIQgkwq\ntIBMSpJU0NKa1VaHf/D4Q7y0uMJ6p0OcZcb+XGsyZVZbMoWi7dCOYvaPDTNXbxBLScFxEUJwenQS\nZRmi/Yl9+3h4Zhe+47C7UuXS9hZ7K0NcrG+S9fkLARQ9j4/PvPcS1k4S8tTGZdppyIPDuzlSmXpX\nvJfWmnPti1zr3iDTGeP+GB8Zup+Cs+Ne+0Fgh8PYwTvGdMGY0tWjgAuNjYHa57WNVS5tbTGRNwqb\n17fW+MT0Xh6evPsA2N3w0V2zrHQ6bAcBBc8zslGpkX2dhUYYYlqBIwRL9Ra9QsJys40rLPYND+M7\nFr/10H1cWNlgrdlBayh7HiXPo+h6+LbNpw7t48DoEL//3efYahsS10wtmwjXZi+kHUTkbIcgTZFK\nkWaSKBYUXZc3FtYRFnieQy9O8R0b37EJU43QUPJ8bCHohDFSSaw+oW5pQRTLgQ2Ipi/ptUBLiHSG\n0ppKzmd2qMbsUI3PHNrP//qdH3J5Y4sbUcNIfvvFU6WSbifhdz//IKudDn/02lm01owWi4Os8YLr\n8tn9Bwbn+PHZvWyHAVtBwGPTe7jY2KTq55golfjSgWPseQv+4qfBYneb/+Xs12nEPVzL5vsr5/jl\nmVP83b2PAKYYNNMenuVSdHwutRe40l1Easne4hQnqweY681zqXNlsM+NeJOf1F/iifHH39Nj3cHb\nQ8POHMYO3jl82+HJmUP8H2efGRSLEb9IlGZspD1KfTtyIQQ/XpnjvrEpPPud9bfLvs/v3Hc/880m\n06Uyb6yu8+LiElmqDHmMQEgzkR0lGR07ZqhgJKpLzTavLK7w2IE9lH2fE2Pj1Js9elFCEKaEmaBo\newx5OW6sbvOvvvMcF1c2aUdmhVDwXXpxilJm8C/JJJYQFD2XJJMoJU3mRJKhVEjOcwjSrF9MMoqe\nSQP0Ldvkfycmm8Lqc/fUuJsAACAASURBVBhaaxJlBg9tcXMbgxwPMFkbMlPcNzVJlGZcWdsizjJ+\n5fgRWkHEYqNNorObzCNJIllvdXl5bpnffOg0lza3CNM7h+6K3p1Gf2XP5++fuJ+VruFupkpluklM\noZ9m+F5Ca80/vfAd5rvbg2052+UHaxf59OQxEJofrJ+lnQYIIGc7pDoc5I+83rxKLFMCuf2mfW8n\nDXpZQNF5d0aJO/jZsTPpvYN3hSO1cR4Y2cVit4FnOeQdl9e21ugmCa9srA5mMi5vb1MQHtOlCqfG\nJthbe/sWlSUE+4aGmCmXieOMejcwd99pZjIssj6voTBRqFFCKeeRcx02Osay5MXrSyxsN/Fth604\n6AcYSco5n5V6mx9fmOvHq5r+faQyk9MhFUopPKGNTYcA27YoeR7NNMKxTFsrSjLSTOJ5DsLuz4YA\ntUKeMEqI4hTVfy+ZMsVO9gcELeO1jiXEIMMDYYqFUOA4Fk9duMHVtW3Ga8Y+QwBfOnWMzW6Pqxvb\nZNKEMdmWmWR/eWGZzxw5wEO7Znj6xvzgXAoBD83OvOkcCyGYKVcGP9dy709rZ7FXZ6FXv2NbJFOa\nScBG1OZce452GgDGdfiZzfPkbJvpQo0Rv4wtLF5tXiLItthMtqk4JfYUpwdpfTu5GB8A9M4K4x1D\nCPEHwBeBDa31O/M3+AXFvsoQ7eSWD1HF9VhoNxnpK5Q6UUwvTjmztkIwknG1UedXDhzmyMjovXZ5\nB753+RqtIObo6DgTxTLP3JhnOwqwLYGFjcI41zaCkL0jNfKuy0ixwFanx7deu8RGq2tUUdpYhg+X\nCoyVCmx3Ara7AROVEq5t4wiLTGsSaeJU00wRRxkoY6khpUJLhdD9HHCljJWI1JBkTA9V2Ds+RKoU\nUZzRaYegwHNttGUhMmmCm4TAsgQ3f9dUfzAQbi0yhIKq5zO/2WCt2eHA5AgHJoaxLYuV7Ta/dOQg\nK/U2kTbcitAC1zFZ3yutNg/OTlPJ+Vza2MKyBCcnJpitVe95joM05bW1VR7dNTu4q+/EMec3N3hk\nZtdPNV/TTiJaScR4vsRm3KXi5ummd/pVCWGRs91BsQC40VtjO2njCAuFZCtus7s4woX2JTwLQtmh\nmbTYTho8PHyKmfwUefvdq/J28LNBf4CDeO8WH3jBAP4t8H8Cf/gBH8cHjo9N7mE16LARmLv6vZUh\n1rs9OnFKmKS0o5ixfJEgSwfPeXF1+R0VjF6ScG3r1p3pUD7P/VOTvLq4Ssn3sYRgabtJL07pZTHt\nTkh+yuHB3dM8fXEO3XextYTAsS2kNMWlnM/RCqJB66Xke6SZiWgdLuZBwWbaI+87SK3phQlKKzPx\njSCRt/IZLMAXNmGQMl2rsNXqMb9VpxckZFoRJxkF3yVL5eBYtIkExHftgR1JoiRa6cEQn0CQZBkI\nWNgynMX+8WG2OwG1Yo40lURJZo7J0lTzPp7tUPJ9nru+wEK9Scn3uX/3FFPVt7YCv1av88LyEu04\n5nMHDtJLEv74wjmCNOPo6BjV3L0vyJ0k5ofL15nvNCi5Pg+Nz7AZdzlbXyVVEs9yODE8zpHKJPW4\nR9T3kxIInpg4wkS+OiiU3SyklfbIWT4K01KLZMqN7iJSZ+TsMkpLOlmLMK5zrbvIg7UH3vZ7tIP3\nBzsrjHcIrfWPhBB7P+jj+DAg77j81qH7We61SZRkV7HCdueveCPawHIEsSXpJAljhVtDXJ0optfP\noS563j33nfXjS2/HRKVMrdBEK83ydpsgSAb8wFqzi04119bqfPu1yzR7Ic0gJI5NMbi5eojilMla\nGRA0OgEF36MVRFgIfNuhGYZorbEtizRJoc+bZKlCCw0SEKZY5CwbV1tkacZ2O2BuvU4Up2hp+AqJ\nphslhufRhuBGmoAmZVscnh5Da22UZq0ucZbhOw6eY+M4HnFm4mRXmx3WWx1aYcxmp0uCKWBoI4GN\nkowgTvgPP3mNVCpGygUs0WO+3uDXHzzJePnerrCnJiYIs5RnFxfoJgntOCbMMr5y9NhbFguAP71x\nnq2wRyMOudTY5K+WrlLyXSSSdhphCYu5zjaPTc+Ss10WenVimfLQ6F5+98BjCCHYX5riWneVWJqb\nCktYSC3YirpUvByeJai6RRNrqxJs4WMLELicaZ6l5lUY8d+5Eu9eyFREkG3g2WVy9s++v1907Kik\n3mMIIf4h8A8Bdu/e/QEfzfsHIQS7SqblkUhJznYpuC5KawInJVUSgaATRcw3mjSDiOfnFpmplHlk\n1y4+f+gQeffN6WvVfI7xcpGNTm+wLckkB4aGeWNljXYvBAkCjbBgs9njO2evEMcZJd+j0QvIEoWU\nimrOpxvG1FsB236O6VqFj+/fzbnldTpRjJIKR/XbRb6i043ohkY67No2UZpiSYFG4OibbrLgeCa7\nwtaCHDZxJFGZRkuzuhGAsMB3bJJMDhbxQoKnLb54/1EaYcSNjW1KrstSo31rnsQxKyDPsVmpt4nT\njDDNSLUycbGW4SdUpnA9i1Y3YKNtVnrNIOTQ5ChSad5YXuczR9/aRvyRmV10k4TX19cA+HsnTjFV\nfuuVyXrQYSvssdxrM99psBX22I4CUi0ZyvlMlkr4NqwEbXRms7swSjtOma0O8eTk0UGr6/Hx4wz7\nJS60FjnfXqAZm2FF0Og05ROjpznXOUcszUoP6OeelNAaFoLln7lgNOIrLPd+jNJmZVPz9zNb/DRi\nhx+5J3Ymvd9jaK2/BnwN4KGHHtJv8/CfO2itBwlrM6UKtmWRSEnJ87h/fIp6FDBTqrDYbrHSabOw\n1SLJMoqOa9RNcYTvOPiOwxcOH77ra/zK8cN89+I1llttXNsiSyXTlTLdXsT8arPfKjJf3FRKlhtt\n5jcbFDyHLO2rlCzBdicwOdtRytJmi5X1Fhfm17lv3zQeNg1plFS9KCXJMnKOS5wZJZKUClsZ11pL\nCBzLkNhaMTAjdC2HS4sbbLW6JvCIvppLCHzbwnJspDTHqtFYwmKkWKTZCTm5d5Ibq9sEYcpkqUSY\nZkQyJY4lDx+YYbPb43pUx7UtVL8ddpNWcGwL3f/bdRzi/sqtGYQDIcC97MtvRyeOWWg1Bz+fXV9j\nslQacBp3/fwxuRorvTb1KGA76pEqRaIk9TDCEoJd5TIa+OP5V7l57b3eqbMStvmdAw+zuzSMLSxO\n1/ayuzDKX66+jGNZfcGYESSkyuZk9TCvNs6b9ywcxvxhat5Nwv5nu3BlKmK59zRK33IMaMbXKTkz\nDOeO/kz7/kWFcav9oI/ineHnpmD8IqOdxPzJ1XM0IkNYlj2fLx84TtXL4Vs2iZRMFsukUrHa7jBT\nqNAhYT5oDvyYbGFxbn2d4b4FyN3I1Uoux1fvP0GYpqSZ5A+ffQVg4PuUKNPmkcqQ0b0s5rlL84h+\nfoawIEpNvoXhMSRL6018xybnuab9oRTX1+vkXZeg3z7yPYchP0enF+NgIzF53sKGct4nSjOSRGL1\nY10dYbHZ7CGUIbKN4snwEaW8T6Y1kbD63rNGHZWlRpV1eWmTgudRzedM2yXOUIkmESnPnZ/H8xx0\npghSOYiRNdmyoC3Tkhoq5JmslHltaZUkk/iuWRWVch77R4dZ73R5eWGZzx09iNvnbpabbd5YXefR\nfbv404sXCNKM3zhxisV2i2cXFwD43IGDbyoaSmvOb28w32qy3DKrjM2wN4jW1dpklqwHPVJtCnZE\nRNnNUXRdqm6eq+0tXt5eZHdpeLDfhd4WBSeHZ7kkKsOxbDzLYT1u8o/2fYWHh0/z7dUf4giLqlfG\nwli17C2+8xmfuyHI1u8oFjfRzZYZZqdg3As7K4wdvGM8vXxjUCzAkJ//74XXcHFoRDFXGltUfJ+i\n41F2fRwtmOs1SaQZYEulwnIsmmHEja06//7l13Atm1PTExyfHH/T6+VdF8+2ybkOUZoxVCyQ91xk\nX7HUJwhwbZskNfbmAwJZCLx+eydJzB16KhUl20IpxcrWbTkefWlrnGQ4jhjMRuRch0wqPMtGS03J\n83Dy/VVD/3lpJkGaa7lAYNsWjm0xUSvjOBZz6w3CNEUgyLkOtmXhWRatMOlnAkKYZIRximfbRmEF\n5DzDaaRJit0vOSjTksrbLqd3TzI7VuXGZgNX2HTThDBOafVCnjx+kCMTo1ze2Ob6Vp2/eOMiXzx5\nlI1Oj6+/cZGS73G93iBMDWdx07wR4JXVVbpJTMU3PMZ2GHBmbYVnlhfopjEF1+Xy9hZrQZeQdOCK\ne7O+SKVpxzGOo7Ac6KQRUhuPrcl8hY2wQzMJuNbZBKDm5cjZHhHJHY62u/KjWMLiQGmW39n7FV5r\nnmcz3qbkFDlZPcKQd28F2DuBa929XedZO7nh98YHF7n6bvGBFwwhxB8BTwCjQogl4H/WWv+bD/ao\n/max0DYX2V6SsNBu0YpiNns9HpvZw3CuwOmxSYIs5ejQCN+5fI16FJL0nVdTpXEsTZAkhGHC2WQV\nMthdq3FhbYP7Z6Z44tB+fMcmziS1grlg2ZbFielxnru2wES1xJ6RGgvbLdI0M9YfqcTvF4xUyv5F\nu99CkoYk9myLNM5IlCLLFL0oIZWKSt7vBxGZ+YqbhSLvm+xr3zGJfllfWpslkm4SY1sCmSmUNOaG\naLAcC9c3samjlRIfO76Xv/uJ0/yzP3mKa6vbZEqT91wmayVeubxCphWpVMRZStIfuPNdh1RKhkoF\nLAuqhRypVEilKPg2mdKMlAs8uHeaRw7s5sX5JaRU+I7NVLXMRKXEzFCF+2YmEUJwZGIUjeZ7F6/y\ntWdeRGtNrZDny6ePU/I9jo6N3WbWaDiNk+MTg23NKOSPzp3lemObl9dWkFoTyRTPs9ESVL/dpNDY\nQuAIgRYaq18+bTSpkrQThW2lhFnGeL7EP3ntW0wVyibLXNgcLc9yrj1Pqsx5GPHLPDxyiAvtRYa9\nMhO5Go+PPfKefpfzzghVby+tZG6wzbFyDPvH39PX+UWCfh/mMIQQsxjl6QTmN/BrWut//tceI4B/\nDvwKEAC/q7U+81b7/cALhtb6P/+gj+GDRsX36XVjLm5vkUpJmGWkSnGlsc3pMRN2VHQ9uklKnGUI\nIRgu5MmUIpZGYlp0XII4JUby8sIybyyvMVwosNrssNRokcQZFoLf/tgDjFWK9OKE6xsNco7DoYlR\n9ozUmN9o8PSlOcIkJQzSgXxVYAhsx7ap5Hy0gBMz45y5skyWmuLR6cVopSl4LpPVMlIpcrZDz06Q\nUhKEKbq/r0SmxEFqprMzzIVdgOy3tLLsltQWqfGFzfBQkcdO7uP3vvBRLEtwZGacmeEqUZphWxbn\n59ZxbYu9E0NcWt5EJeaCL13N9HDF8AH9AnJydpKzi2tEScbkUJnJWolmL2K0VGJpu0W7FzNWKlIt\n5ij5/mBF1Y0SKnlTcI9OjLHSanNudQOAv3PyKCXfqNQKdxEd3L7ttY11LmxtcGZthUYUIvt+VrnM\nxnYEeVxSIU0LSghyjosrIFAZSkEsJRJlZlxURs5yuN7ewrbhcmudyUIJxxKM+CV+efIRAtml5pUJ\nZcRfrp4hVgmJyjhZ3cOvTj/yM2Wv3A2zpc9Qii/Ty1ZwrRIj/gk8++3zxv82Q739Q94tMuAfaa3P\nCCHKwMtCiO9qrc/f9pgvAIf6fx4F/kX/73viAy8YO4BHJ2f5t2+8bO6qMTYXVc9Ha81WGDBbrg62\nHxsbZ6ndMuZ8wkIpoyDSGWSWwhIWcZYRZ6anX3Rdrq5ts9U2vkMXV7/Df/GJB7mx0aAXJ3z5IyeY\nrt2aUJ6uVljabvHS1UXm1htYlgk6soQg7zoIITg0OUK7G6Mzw2WgNGmWkWUOHz+6l+mRMi+8sUAW\nSwq2g9I2mZA0wtC4uCpQSiEVZLdN2pl5gVsXLyEwMl+pOTE7wcm9k+Z4gBP7JvnGM+fpBrHJ5U4z\nZsdGCKIUoUz2+EihwNhohZFqgWYv5OraNtVCjj2jQ+Rcl0RJZoYrXF7ZxLdtzi+sYVsWtmfTiSL2\njA0NOAfPsRmr3JIzLzfbXN64Za/xV5ev8cWTRwecxt1wvV7nzOoqTy/O8fzSIr00IVVycLGIE4kv\njBWKUhqFhWPZjPh56omx+sg7LgmAlvjCMUWyNMz17hZFzyFRKa2sS952CbKEa50qn548xsX2PN9d\ne5V63EYLGPIKLIfbuJbD56c+8tN9ce8BS9iM5I4xws+HZfeHAe/1CkNrvQqs9v+/I4S4AMwAtxeM\nLwF/qI3a5HkhRE0IMdV/7l2xUzA+BDhYG+Hzew/Tis6iNYzmC6x0OrTiaKAc8m2bT+3Zx5/2LnBo\nxORDa61ZbLaIkoxGO0RnmigzXky2sIgz00qqdwMsS7BntMaNjTr/+ocv8sDuKX79kVN3FAuAX33w\nKM9emjd9/kwRJ5IoSfrJcoKC53J0epQ3rq7jC4s000jMhT2JMtCa+/dNs7llbNCb7ZDtVo+17RRH\nCySmWKBus3zSN3U8ZiDDxHCbVY1lWTiWRbWY4/Ds2OA4V9dbeJZROqVJhpCQcxwurZkeft5zqRby\nlFyHaj7H7FiVjx7ZTZCkZFLx+Il9HJ4epRcl/Pf/91/QDWLKBd9YmcQJ7ThhdbvNzGgV17b57PE7\nCe6bnMWXTx9nqdniexevDjiNuxWN6/U6X79oLKw3Ol1zHNoUeK3NjIwWRp0mLYXWmrzjkWaKIJaU\nPZ+i5+HYgtWwRcF2yTk2OcdhsdckyFIsoVBWhqXNkOTNsKdvLb9CqHoEWUSiTauvkQSM58q83LjK\nx0ePU3Z3XGo/KGh+ai+pUSHES7f9/LW+mvQO9OfcHgBe+Gv/NAMs3vbzUn/bTsH4sOORqV28sbk+\nkG2WPZ/1XpfjI+PsKld5cHKK4XyBT+zdwzPzC6j+xeZXjh5hud7mx9fm0BrqQUCc9u/6U8m11S3i\nJMO1bfK2SyYVDtCJEgp3GfQr+B5Pnj7Ek6cP8eiB3bx4ZZGtdo/Xr6/QDROKlsOrF5ZZ2WrT7kTI\nm1Lcfp+9GyRsNnuMVIyBXbsTEsUpvmvjCEGaSjIBQiik0lh9LtwSAtuxsfociWNbZMpMk1eLOX7p\n0aPsnjDzAatbbVY2WwyXCwyXjSrs3Nw6S+u3pKxW34zwwtwG9VbA7HiNU/un+fRDB+94v5GVoZSm\n058TKeU9WkGMbVl87sQh9k8NM1Ur4zm3flWiLKOS8/m1U8cMZzFhCtlry6tIpXHvssh4dW3t1rEh\ncIVlVpT2rWN1LAttabQyg45KGyK+ZPscqA5xbGyMRGZcbK4z36uTKMlKrz0gyINMYjmSgm24IkvA\nueYyjbTFbLE64DIAUiXJlCRnuWwnbcpuHqUVm7FxAxjzh3d8pf6GULBz3Fc7+PYPfDO2tNYPvdUD\nhBAl4I+B/05r3f5pXuR27BSMDwl82+Erh47z1OIcK902Y4UiXzp0jINDI3c87sHpaY6MjrLR7TGU\nz1HL5+nuilFK8/S1OYYLI3TDmIV6kySWtKMEqTV5rTm3vE4p5/GRfTNU8j5/+vI5vvyREwMi/K/j\nIwdnyHkOP3jtGjNDVYZ25VndaBHFRparbxOPK63RUtHrRQRhMtheyvskaYbKFGloDAa1xcDWwxIC\nYVvkPIdaOU+tkmd5s0U3TLCFoFbM8T/85hOc2DdJvdljbbtDoxPccZxCCA7vGqMVRmSNDjnPYbhc\nYG6tDtqQ3kppXru6zK7xKrvGanc898H90zx/eYFGJ6QTxti2xWPHZvn0qQPcDQdGh9k3MnSHRPbo\nxBiHx0fvOmtxbbvOTxaWaEUhjShiod3E0sKI7y3D6/i2TdH3CHVK2pel6j63sRUFyLrGc2wCGTPf\nadHOEtoy7N84CCxLYymBq0yMrIsmkgm2JfAsh2YSorGIpWmDCSGQukDFLTDslWmnXX648SK9zJzb\nklvkibGHKbvFN72fHby3CGTEq41r7/l+hRAuplj8e631n9zlIcvA7G0/7+pvuyd2CsaHCJOlMr9x\n7NQ95yhuouh57Bu+tToo+T6/++iDfOrgPl6aX+Kpyzc4MDzM8nYbpDEBzKRGC0nB99g/NsyXHjjO\nn505z7dfv8RvPHoaIQRJmtEOYkar5iIhhODA1AiX5zfwsFjdarGy1SJJMrpd0y4TAFqRcxxKOZ80\nkaxvtbEci5XNFvPLdVrNgKCXDJRW9Fckli1QaFzLouz7PHZyH//Vf/Yx/tm/+yH1dkDOtdk1PsT5\nq+uEccbVBdNuipOUK8tb7JqoUS7ljNTXtfnNjz/AmavL1NsBm42uKRaew1D5VrtlaaN1R8Eo5332\njA/j2DbPX5pHayP7/bVHbql6rq5tsWd0CNe5tXS4urrN/olhw+H0cbdicW5tne9fuY5Wmktb26x3\nO2RaIdFoIYwQQJjPsJbL4UiLRmz4ipuKrxwOkcw4u7FOQwYUXZcgy5BKI4SFbQmUlmRaYyubRCkk\nkorOUXZyaOGyEm4Ry9Qk61mCouPjCg/P8qi4BX6w8ZNBsQDopj1ebpznifGH3/6Lu4OfGe/14F5f\nAfVvgAta6396j4f9OfDfCiH+A4bsbr0VfwE7BeNDiXsVi04Uo9FU7uFJtG9kiLLvsd7ocn2zzpYT\nkHddfMdBKkXeddkzUuPhfbsYLRf50oPH7yhOT5+9wfx6gy9+9DjjQyXCJOUbz53n0uImtUKOlc0W\naSrp9OJ+lgaD53uOg0AwOVTGcWxqpRwrq02yxCTWOQWLIEqMy221QDdMQGtc2zYEvhQsL9W5PLdB\n3nGoej7lUg7PsemGMU+/fI3J0TLNdsjiap12L6bVCinlfaYmKjxwbJYoSqn5Pjqv8FybJMuYGCr3\nrTEMSvk3t+GePH2Q3//2c3iOg20JJmplgqg/5d0L+e5rV5kaKvOrDx7FdWxevLrEi1cX+cSxvZze\nM3XHvqRSnF/dYKnRopzLcWHLqKiG83maUUiq1IBb0ML8bTngC8cMVCrDMWRKmQl3IXBtY7nezWJ6\naUKYJUiUCYlCo9Qtx96i47O7UKOeNMnZHpmWhFlKzsrRTEKG7BwHS8PUvDxlt4CFKYLr0ZvzMTbu\nsm0H7wfE+zG49xjwO8BZIcSr/W3/E7AbQGv9L4FvYiS1VzGy2v/y7Xa6UzB+DhClGd++dJmFhpnX\nmK5W+MLRQ3eYDTaDkFcXVmkEIa0wpJLzyXsO3SjGEoKhUpFaPsehiVEOThh329Hyne2GR47tZr3R\n4S+eP8+TDx7iJxcXaHYjvvrJ03zvpcuAQErjAiswiXZCGbemWCaMjOXZ3OoQBDEHdo3iCAvftqnH\n2aBH7wjL8AEqNkVGarQy+qi5xTr/6t89zWa9ixDgODYzkzVGxyokScqFK2usbbaJ4hTXsxkdKrO5\n1WF9o83ZcysMVQvcd2wG27aolHKc3DdJoxMO3l+5kOPQbcQ5mOyO5y8tUM75/Ndf+Bj375vmqXPX\nefnaMkIIHj40y5OnD/K916/wjTMXmaiVeOX6Ckdmxjg5O/mmz+ovz1/hwuomrTDCsgQL7RZHJke5\nuLGBjBVamsl1hCH5dV81FmQpUhslwKhfINApncz4PYWZIcgDlZApbdpZg330PbAwKroRr4AjLPJO\njm4aYwvjUisEVN0SNa9AzSszlTfKu5s3C0UnTzft3fFeijtxrX8jeD8S97TWP+ZtfF766qj/5t3s\nd6dg/BzgR9fnmK832eoF1IOQa1t14jTltz9yP2BWHv/ppTeI+nMGnu3QDnvsGamZIbxMMpzPc9+e\nKX71vqMUvDfPCYBpz/ydj5/gPz31Gt/8iVH0/OpHjzE7VqOc91nfarO53SEMY2SmQZr4VOPeIQh7\nCbKYoxckWEKwstZkeblBkkmTgaE02lG0GgGOJW5e80hTSZqakPE4SrFtM1He68Vcn9vEdSwSqUiS\nbDBLEccZCyt1Y1HSJ8ejOMWxBccPT9PuRjx0ag9KaOZWtpkYqfDAoRl8986vvBBm+vvRw7t58IAJ\nRnri5AGEEOT75+nQlCmw333tCiv1NgcmR/j0iQMDie9NbHV7vDS/zLWNbTpxTDdOCLKU5WaLnO8M\nrNYtpc1wXr9oWBqj9tLSyHq1RU64xCIjQZMoZVYmQvXbT311mRQIYQYhY6HJOw6dNCGUktFcnrwn\nWAy2UFpTdDzyjksqJe0kouLmKDo+h8vTAJysHOSF+utorellIe2sx6g/RDcLKO0k8L3v2LEG2cF7\nhuv1OouNFqvtzmDbty9c4ZP79zI7VOPc8vqgWICRlA4XC8xUKhweGaUbJwwX8/i2wyvXlji/sM6J\n2Ql2j705a9qxrYHDK9Cf2IaZsSqfvP8AV+c3ybsevSQ2VuXCGHF4fZuRKEo5tGccR1iEYWoswwHZ\ndxyxLYvZyRqFnEecZqystcgyietYpKkkDBMcyzLWIMKEJsVhRtafVrAtC6UMKZymGY7tcfNGSmvN\njaU6rutwaN84UZRyeO84Fy6uEudSCrk3t6OEEDx2bO8dbUDLEjxxcv8d25q9W4FFQWIyyS3rTjlU\nK4yZ324SJAnN0DzeQVDvhZQyDxsLWwukBqG08a4SRjrsWTausBku5EmVGd4suzlildKRMVJrVN/7\nSgtTqIUtsIBUa8byJap+jlimWMKiYPtEsofAwhGQKAVZykq4xbXuKm7d5lh1mq/OfgyAfaVdFJw8\nz229ylK4zpBbYStu8M3VH/HZ8Y8y4r+3ueQ7uA16oCz/0GNHN/dzAFtYrPejUgfbLItXlg0/1Qoj\nVhptrqxvsdJs0+wFXFje4PXFVZ6+eIMzN5Z5+twNvnXmIk+fv8Hcep1vvnSBa2t39qhvchaZVDxx\n3wEqBZ+/eP48Gw3z2p956BB7poapFH1ynoNj2zi2je/alPI+tVKeieEyUyMVBDBWKzI6VMT3XHzH\nppTzKOU8uq2IzfU2SZhhYSxDCnkP1zZ+UmkmcRzjHWXbNmPDRTzbZu/MCLunh6iW84zUioM7/ErJ\nR/R9rspFnyhOQMyO6AAAIABJREFUuTq/iedafOupc0YJdfzepnp344xu33aTszgyM8aTpw+x1mjz\njTMXTVHDrOA6YUw7iNhoddjo9MgGTrgC17II4oScbVNyPSwEtha4/dKstCKWGWXPo+A4lD1/4OZb\n9XK4wjYrkZsHpEBg4Vo2vu2QaaOGizPJsF8kZ7ushW02o57xB9MaqRXrUZ1MZ2bgU2sutlb511e+\nP3ifo/4QCsWu/MSgHSWV5Gzrylt+P3fws0Np8a7/fBDYWWH8HODYxBg/vHL9jm2T5RLdOCGVkkur\nmyz1+Y1Gz0hDq7kcUZT2+6OaxXqLkWKBxc0Wnm0zXi3z2o0Vhot5LixskGWS1XqHThDz+UeOMDtW\nY2asytefPcd3XrrEb37mARzb4qEjs8yOVnnt8grL600c20ybAxRzHoWch+va3Hd4hvnFbYbKBXKe\ny/qG4R6SKEOnN6f2NDnboVj2cRyb1aSF7zok2S23U9e2GB0qgRAU8x5H903QnYjZbvYo5D2CMMX3\nHCxhSPV9s6MM1wq02iFn3likG8RMj9f4/nOX2TszzH3Hdt2hbHo7NHshL19f4sjM2KANJQR87/Ur\nXFzeJEgTXp1fZaXRZrXVwRW2SRxUipxrlGNBlJEpjYfAQpiBw/7veyYVloCc5ZBmirVOj7Lv4Vk2\nI/k87TQeKGhsYaHQSGFmLDwhSJFkShOSsh2GpFIxUSwCsn9RMasg18jZsG5bPUqteGH7GhtRk7zt\nYwtBLBP+Ojpp903bdvDe4f3gMN4v7BSMDxlW2h0WWk1KnrkTfWV5lU4UU8nlyKTEti3GigXGSiX2\nDNW4tlHHEhaT1TLr7a6xw84yRooFksS0qbQ2fk0brS4CuLa6zbn5dUqex5899QaeY1PO+0wMlXj4\n2G5m+62qm5xGox3w7JnrPHrfXh4+sZvvvXCJkwemCIOEXpQwPVZmuJKnkPN5/CMHuP/oLop5j2tz\nGzz9k2t0tzsopZGZMRtsdyN816FHTM53ObB7FNu2cSzDWzTaIUop8jmX4WoB27Y4vG+CB07Ncn1x\nm6AXs2u0im0Jzl1dY3mzzVi1wMc/c4rTx2ewLYu/ev4yzXbA/HKDnO8Bmo2tDp1ezBOPHnrHn0et\nmOerHz3JSOnWiubQ1CjVQo5mEPKjS0a2vtJok0iJkJC3HRJpZmM8x6bse0TSDE+GaQqWMLoYIRAa\nZAbNMMK2hWm5ofAcm+Vmh1CmZEIiLPM5erZNqo0xpBaK7OaUvIAgS2inEe0sYLxQINOgUQgEscpA\n3Iq1FX2n3q4M+PPlF7CExd7COAUnT5CFd5yDUX+Yd4tMxSwHZ2ml6+TsMjOFUxSdneS9e+HnpCO1\nUzA+THh2YYEXl5YAaEcxc9sNjo6OobRmplZmtd3l8OgIQghma1Ue3j3DSzeWCZKEXUNVpiploixj\nuxSYQTDXpRPG/RkLiVZZPzvCFJ5GK6TiesZcT0MniAmClChImRwpc2L/FOW8T7sdcm1+k3or4Auf\nPM4vP3aM/+8bZzi2d4LPP37MEMQ5lwOzo3h9UnlxqU7ciSnaDiXfY3ayytWrm/TCBAG4Vj/HIpOM\nDZfQQBSV6eV97j8xy/ziNmGcMlQr4vsujz18gOnJGkOVAt/4zutIqdiu91hfbVHOuYxUSizOb3N0\n/wSvXlqmkPNQUqGU4oXXbpD3XIQQzC9vc+LQFGPD79wMb6zy5seOV0ucmTPFQmtNkJhhxnYQUSvm\ncGybWEpsBJOVMhkKWxhZ03YYkkgJCqTWaAEi02g0GYoozCh6HhqNLWyEktiWyVK3MPnlti2IdZ8j\nsmxQZm5DAZk0A3+BNDJdpSWOo7EtQaolSprZFy0Uk7lhUzy05kZvnf2lcRK1TtafCi85BU7X7h7I\ndS9orTnf+h69zLQ8e9k2zWSZ00NfJGfv2Jy/GWJnhbGDd4dOHA+KBcBmt8dWEPDjuXlKrodjWeyq\nVfnUwX3srlUZLhZ48foSz1yd5+ziGlJr9ozUmBmqkvdcio7L+YV1tls9tlo90si43NqWRdI39Uvi\nDB1LfNeh4Hn0uhFBN2a8WmRpo8n15Tpf+fQpZiZqfPbjR/j+s5f4j998Ga1hpFrk8588xuRohSBM\ncB0bt++JMb+4xb/4v35IECaEUUq3E1LJ+4xUiySxuRDdJNYLeZ9H7t/L3j1jKKW5dHWNi1fXKBdz\n1Kp5jh6eYu/syKAQXby8ahRXGlbXm4Rhwtp6i3Y3wrEtXr+6wqc+fpgvPXmaH/7kKsX8JmubbWIv\nY6hSoNOL+dFPrvDVX37gXX9GYZKy3uhQzvuMVIqgoRfFrNTbtHoRrSAkziSFnMtooUDOdZkZriAc\n6GYpG90eJc9jI+ghRL9YgCE9FYabsAUKRTsxViVmDsMmZ9tYtimyBc8kK6ZIVoIW9AlxpU2GtyWg\nHvewLIu4b0Xva48Rt0Qja/TtXCym8lUeHb3TkiKQKb82/WlWo00cYTOVH8d+lxYh7XR9UCxuQuqU\n9egKe4oPvuvz/rcBOyuMHbxjrHU6/PG5czy/uIhn25Q8n81Oj61eQMnzKLkemVLM1Ru4lsVwscBi\nvckL1xdJUkkQp7TCiM1Wl/ZUzN975BQ/PnuD9XqHZiswvIEy/k1KaWxEX7Vk4lGVzthqdPEsC8+1\nB+Z59XaP+dUG+2dG2D09zEcf2Mcf/MdnAfi933p8UCy++f03qFXyPPlJ40763R9cGNiD2JYgClOu\nXl1nZmqInO8a+atjUSr4nDo6zVCtSKE/UPeR+/bwkfv23PNcRf2CI5UiSSTtjlEjaaURjiBvO+wa\nrVKrFNi3a5gfvXCFoYppawEUci7NtvG3yvl3lxffDZeWNvnR2ev9YmVMHjOhef7qAo1eiMYUFK1h\ntd6hkI+ZGa4wt9lg79gQB0eH2VWt0ksThC2YbzaJsgyBviWTFf1BvNteV2uTDVLFZ7JYoidThgt5\njgyNUo96rAcdE6TVtxhxLIuym6OteliY9ELLgkhKGnFC2avhWRYPj+xhplIcmFveRCvp8J21F0lU\nyu7CBBO50XddMDId3327uvv2W//ephO/ilQtfGeWkncSIf52XKJ2Vhg7eEdIpOTPLlwgSM3FZqHZ\nQiqFK2x6SWJ61RriLMOzbVqRuUBe32ygtOb6Rp2S75F3HVKpGMrneOnyIldWtgzJnEpzUehH2WkF\nGcoM0GGRoUjTjHZi2ifj1RKbjS5jQyUQ0Oub8vXChHNXVpkcq3B1bpP/7ff/kn/8e5/j9fPLBGHC\n/Sd28fVvv8qnPn6E+fkt2u0QNDSbAWliHHR73Yi8bXPi1CRjYxVKBZ/pqSEmJ955ytvsrmEWlrZx\nbAvHMRPQliUGq5uRWpEoTAE4dXiGmYkaSbqF1lDIe+zbNYxtW3dMf78drq9u8y++/izdMMZ3Hbpx\nwla7R7HgsdXtEWYpUmsKvotUCtkfqDNGhCby9YGpaVpJzLnVdUZzBTacLpYQSKVJVUaGKa7xzXjT\n/vVDgVnJxAlbvQDPt5ktV8m0ZK7bpOz6dLME0AjLhFpZQuAIm6LjkSpJL4tItURITUE7xErh2h4H\nS1Nc6awM3mcr7RErQaaNk8CF9jyBjPjU+LtbjVXdKWzhInV6x/Zhb/YezzDFYr3zR0ht+JMgvUaU\nzTNW/NK7eu2fR7wfAUrvF3YKxt8QpFIEWUrJ9e6QbN5oNIj6xcB3HDJl7i+1gJLvITPFaquDZ1tU\nfJ8/evF15jYbRElGK4jIbmZoWOYiGMQpr19bIYklcZL1FUzm9SzLTBZrZVQ2wlzVEIk2E9zAhWtr\nrG602L9rhOP7p9g1XqMXJnzrqXP0goTf/vIj/OTMDf7l//Mj/sd/8id89uOH+cJnT/HU05e4eGWN\nS5fXiMKUIEjodiKyTOI4thms68aMjpTQiWZ8pMJ9p2Y5dHDiXQX4HNo/Tr3R49KVNfbOjrCx1Rn4\nSfmew/RklaGhwuD9fulzp/n+s5dQSg3aWof3jg8KzL2glGZhvcHqVovvnLlMt184l7ZbtHoRnmuz\ntNki1hIlTGtJORrHtdE3HXy15uDECK5t871LV6kW89hCIJVixCvQUyntOMa2XBzXIsWsABOUWXLc\ndlqG8wXum5jkUnuTVhSRIpHaDPTlbZdImbRDrRVhYlHJ+6b9qDLT+tJGIhvJlLFcGddy+fjoUYb9\nMou9LfK2x0a8TSSjO87DQrBOKGPytj/YthgscrV7mUhGjOfGOVE5Rc6+ZVfjWB6HKp/keuc5EhVg\nCYfp/HGG/HtLm7vx2UGxuIkwvUGSbeA5b44Z/kXDTktqBwOc3VzjmeUFwiyl4uX4zJ797Ksaxcjt\nhnV512GiWCLKMiZKJbJUstbsUnY9fMdhuxvg6B7PXFvgwMgQC41mf+BH04sSojhjfauDVtpEsvbj\nVgfOsAikgLxjiOhOL0InGsyQNRpDmNZbAUppHji8i6FKgbWtNnGSDTiLJx8/xnMvXue1i0s88/w1\nskSxstrkwL5RLC0o7fNY32zTagYoqVHCSEwd2yZJJJVSjqSXsGd2+F1JXMHMNXz0of3cf3KWMEp4\n/LHDPPXjS2YGo5SjVPQ5ddvMxcE9YwhMIUwzxb7ZEU4fmXnL18ik4lvPXWB1q8VavcPcWp1umlIo\neCSZRAjDXSS6X9z7/40TM2xXLuUYLhc4PDlKrZAnyTLacUK1mMeyLI6MjeJYdRZbLSo5n3LOo+z7\nrIc94l5mCI3bioXd/44sddoILZhrNeipBNFXPXXTmEwrHEtQ8/NMF8oEIqKV9fqWI8bgUBjXe4pO\njo2oDQhOVvdwsmpagN9YefZNBUNr40R8E+vROmcatyIYloIlelmPT449ccfzhrwZHhj+CpFs41lF\nHMu0HDvpEgVnAlvcage2kwVS1eRuyHQHj78FBWNnhbEDgLVeh+/NG+viVErWeh2+fvUC/+D0QxRc\nj31DQxQ9j16SUPI8WnaM7zgcHB7BFoJ6J6Sa82kGEVGSspZkNMOIAyNDHJ4apdmJWFiv95UvNllf\nkmkJQaWQI04zlNQUfQ8hNTnHZbpWYbXeRiplrk1GCD44Zq2h24n4yStz1Ap5PvfYEb76+ftZ22hz\n9sIy5y6tcOzwFPtnh/nuDy7w0itzfOyRgzz2yCFePjOHlIrhYo623SXOFJYy7Zab+65W82itWV1p\ncuDgxE91XnM5l1zOZahWZHZ6mMXlupHo7hvD/2vcxIE9YxzYM3aPPb0Z15a3WN1qDX52bRsdxYPI\n2jSVRH2b9n7mE7q/enOExZHJUWIpGSqa4Tffc5hwiiilSKSkF6fYmKG8StFnuFRAWIJUK+pxCAoS\nLY35IIKy75EqRSYlDqbllKQSz7PI2Q7NJBiQ3kpr1uIOvm24jFhKEBqJxLOMcms77iK14o3GCveP\n3GoT7StOsx3fGZkwnhui6NxaPSwE8286X42kQSttUXXvbC1awqZwm5Q2kV3mOn9J0ZlkT/mXsIXL\ndnSB5d6Pqblv/nwEzv/P3pvHSnbd952fc+5W+/L2pd/r13s3u9ls7hKpjZS1xbIUxfbAjuMJjAyM\nyUwCzJIZDDDIBBgEyACDySyOHY/jcZwgM3acWJas1ZIlUqIoks2tm2Tve799qXq1193OOfPHqX7d\nLVIUSZEiJb0v8IB+xarirXvr3d85v+/v+/0SOK9f3H9W8NOi9N4uGO8wLmzW7Mhis8F6t4PBZl/c\nObrAI7O7caXkc3fcwZPXriGEIFGaoUxuKwP64blZWr2IWru/NVmUas3F9Tp3TI7xgbt38vTZeeZr\nDVq9kDBOcaWg048p5wPGygWOzIxTymZYXG2S8VyK2YDjp69hEs1ap30z8e7Gl9bYdtXGZoeXziwQ\nhQkugnYn5NylVRKl+Nwnj3H+wgqVco5Gs8fJV67zmU8dRQiordv3zOcCPFeSKkMcpQS+y57do1tk\ncy4f/ODpeksYHSkyOvL2jWtubN4Uqg2VcizVWlRzWUrlLEubbbQxZHyXfppitEE6koxruaaxYp4H\n5nZw1+5plpttihmfw9Pj/M5jT/Hyyiqr7Q5hmpBqjes6LDSbDBdyeL5DYjQF1ycQDt00RghBznNR\nwjoNtZKIRGuqmSwBLlJDR9+YprI/vTTBwZDz8pT8gG4akwhBXxnrhAuDREbBv7rwHT7Q2k3Zz3G4\nsoP9xRlealzipcZlDIYDxVk+MHL0tnOjzWunT5sf8vit8J0CO/IfYqH7Ha61v0HRm2W59zQlf5bp\n/CM0wsfoxmcGn8ejmn0UR762M/PPEnJuwP0ju9706/7NO3AsPwrbBeMdhi8d1npd5psNmlFEohW+\n4/Ctq5f40I45HGmzpz9zyE4YpVpzqVanG8fsrFRo9Pr8r3/9BBnPpdUHBJSCgHYUEacpO4ervBys\nMF0tMTNU5pXrq8RpSpQotGcIHMmdsxN8+OgelmstvvrUGVu0PJdi4LNuzO0N1AE/nkSatbUWTzX6\nPHn8Enumhzm0d4JKKcvS8ia/94eP4TmS++/exezOYf76sTP88f/7fT76oYNcubSGEIJqJUecKILA\nZbPeZd++cXZMWxHY6GiJiYk3Tnb/JDE8yAOpN3vUW1bTEgPlXEAh4+NKQZikOAi0sERzPuMzVipw\n/94ZelHCwclR7pi2rZRLazVcIa2hYhLTCiNSrcl4DlJKFjZbOI6kWAgoeh5KuuRcl0grxosFCkFA\nPe6y1usipWAz7BMqRcHxcHHwhEQJY+NesWS7KyRL3SbNJNyKwnWNoOBnqPg5Wkmf1bDBarTJeLbA\nC/UrHK6ME6qUvcWZwfSU4FpvlcPlua1zM5ObYSW8PTKh6BUpe2/Ma6oaWNHkfOdxOskSBW+K2cJH\nkcJlOPcJSsEDpLpJ4E4ixduzoPhpwPYOYxsAHBoe4/956Xk2+r2tEcZEKU6tr3FybZl7Jm7fcrtS\nsn9kmEY/JOt5DOdzPLhzB6eW12xwTpRgjKHR7lNv9vmjbz9Ho9NnabOJIyXTQ2UuL9cIHIeRYp7p\noTLnFzeoFLLcs3cHn3zwICcvLdHpRrzcCnEkqBtOHOZGe8o69BsNYS9GK8OZc8sszNdwHYdCPqDb\nidg1O0Im4/Kh9+9ndmqIf/+FZ2l2+vzCLxzh2eOXCAKXfC5AKY1SmgMHJ4lixfhYiYOHpt4U2f1W\noJRms9FlZPjm7iNJFO12n6HXEe7tnRnlm8fPcXlxg3Y3IoxTSvkMu8eGeenaCkppPMchpz0aYYjn\nOOyfGmVmpELguSSpJaQlDmutDl984TRLmy3KgY8jpY1UFaCM9aEKXDvwMJzNstHv0VcJjiMZyuX4\n9cNH+aUDB/lHj33dtqsGN5aSH9BOQiJSQGKMIhEKKQQVP4MWmkgpez0FZBwPIawVi+84LIUdso6D\nMppYp1ztrLMRr3OsuhOJoKtCOmmP762/xP7iDjxpbxVT2WmOlO/kQuc8sY4Z8Ue5q3LsTV1LbW4a\nZRobJbX1u+dU8ZyfL0V4N404vnH13T6MN4TtgvEOoxQE7CpVubRZJ70RjpMa1ttd/r+XX+J6o8Wn\n9x/AHYx5rrQ6fOPcBRq9EEcKDk+MMVYs8OL1ZSrZDEOZLOcW1xkp5OiHMQtt24rS2tCPEzY7fSpB\nhgf3zdyWEHd5uc49e3cwO15ldrzK5pEe//XpBSQ29c7cUiy27DOVQGuDGAgFOr0YB+h3Y/I5D891\nSGLF5Svr3HfPHJNTVolttGF1uUGnYwlUx5HceXSW+x/Y/RM998+/eJVz51b46KN3MDVZIUkU33rs\nNPV6l1/5W/fh+6/99ZdCUMwGeNJyQZV8Bt9z+P5LV1DpzdaLIyV5z2dyqMiR2ZvZGDtGKniOw3yt\nwZdePMvSZotau0s7ikhSa2GulBrYadmbZc737ADEION8OJej4Ps8O7/InWPjjGSzTOSLxErhDb4r\n7XaI70riNMUYgRCSrOdR8jM0oi4YcIWDEYYhP09Kys5CFTAYo+mmVkEea4UnJI3YJu6thDXWQpvt\nXY9bfGXp+3xy8n1kHEtc7ynsZXd+zyBi980NLdzgLEr+LCV/jsXuE1xrf2OL0/j5xLbSexu34M6x\ncU6ur6C0ZrVl/Zwyrl3pXW1scnJ1mXsnp9HG8NXT5+hEVvSmtOELL52h5PlUc1lOLaxSa/Uo+B5K\nac6vbJD3fDphTDWfpZLLorXGM5JenFC+pWD47u1jpM+8fI04SsllfDq92K7yBqtRoQeJPINCcYPb\nMNqQGkAr0B5porhyZYMH77eFYHLsZovplz5zD5curdLtRkxNVZma/smvGo8emWF5ucm3vn2aD3/o\nAKfPLLG62uSDHzjwQ4sF2B5/pxehtKaYu9kWMdowXMzZnIvIhhLtGB1mevTm5x6rFPjw4d0s1Jr8\n4befZbXZwfccjDE4UiKNvfZK29Fbz5H4Aydfgz3tWc8j79mb82a/zytrawxn84zm8tT6PaQQtOMI\nxxF4rkdXJThY9bwvXbppRKgSNFYR70mHgpvhntFpioHDs7UrNgdcWEuQjbDLRLbIRGaIRKesR5tb\nn6fqF2glPc62rnGsetODSwyyPd4MYtVhqfd9Sv7sVhtKIFnofoda+Apj2Tevvv+ZwNZC7b2P7YLx\nE8D7p2c5sbrMxXoNV0oyrks5sLsFgPlmk3snp1lrd7aKBUCcptQ6XdKMZqZYIu95qGwGPbjZKK1p\nh5b0NIPRycCz790NY8q5m4Th4bkJklTx3OnrvHJpmWdeuko80EjkMx5hnJIqO5rpumLLMVb8YHN1\nEMmqlCZNbQukWHg1MekHLofueHcnXDIZj0987Ahf+dpJvv2YJVM/9MED7N71+hNTnuswUnl1y2qo\nnMPPegxV8nTCiIznkQ08Hj4yx9zEEFobyvkM660OX37hDCuNNlGaEiYJjhBUshk6ScyusSornQ6r\nrQ6J1njSYbxYYCPuAYZyJsONDo/vOFxvNHhubZHLjU0cKZguldhTrdLdjOilMZ5wUGi0MXTTBK1T\nlLTTUQarFF/pt7l7eIbRbJZQxfhSsha2SI1CG+tZ9Vt7PsorzUuYti0IQ74tIgD1uP2q8/Fm4TsF\ndhd/kaw7ghwouKvBPnxZIOe+tWm5nxVsByhtYwvD2Ry/dsdR/vryRcJEkfc85spV3EEATzGwq1jf\nvf1yxEphjOU1erFVzWZ9l1bPtjZSrWl1bJCRJx18x2F6rMxEucjscJl+mOB7LkfnJtgzOcyXnniF\nrz15hrV6m7WNNlpp8hkf13UYK2QxShP3UuJYoaW2qXrcriG70bZKY0Vzs8vBA1O3tWnea3AciXvL\n7iqTeWNtj089dIiXLixRb9nY0nw2YHq0zAN37mSl0WFhvYnnOhzeOc6RuQmMgSurdc7Or3J5o04v\nSuhFCRvtLomyffqxapG5SoWJconVTpec55HzPXKBj0oNh0fHcBy5pXuQQjCaz/HY/BUaYR+lNWGq\nuFzfpJINEAjCNCVWdgTXEcIGVykQQiKFwQhrNOhLl5Egj0BT8DLcWZlhvlenFrUJpMvnZu7lQGma\n2dwInbRrFfS3tJuG/dLbcj3y3qtjbfPe5Gs88+cL26T3Nm7D3uowe+8dZld5iDMb61uPB67DPRM2\nJnMol2VuqMLVuhUxOUJiDIwX8pY41saufos5rq83aHZCpLGNgWa3Ty7wGC7kqOYyBNIlX/S4a880\nI+U8/Sjh8ecusrjWIIpTpBSkiRX8jZTzaGOoFnIERYlKFdfna/RiPVj5DNpVg0hWqQxGKxqrHU6H\n8+wYK3P14hqPfvzIG74h/yRwg7NoNLo8cP9uLlxc5VvfPr3FabweysUs//3ffZSvfO80G80upXyG\nw7snuPfAzMD9N92yGOlFMb/zl09yYWkDOXCErfX6Ni0wSenFiS24xrBrZIhL9TrFTEDGc1HaekDN\nbzZYaLfIBC6dNGYol+XOyXF8z6HWt9yCLx186dBTCdcaTfYNjxDVUrQJUcYQeHbRIF2PvkoouR5y\n4AAwnSuz2u/wwcldPF+/hu+47CmOsac4hicdjlVnudRepeLluKuyj5caF7fORcUvcLA0+w5eqW38\ntGC7YPyE8fE9e5kpl7nasJkXR8fHqQxaUycXV6j1eiw2mlxar5NxXUbyWY5fnScjXfpRYs0JB6lt\nGdcl73noQd7FZqvHmavLvNBN8V0HIQRfPX6W3/7F9zM9XGKl1hpYRFjtgOc7aGU1BflswMxwmaFi\njsWVBusbHcLQiv4wAozGUZYANxq0EAhH0m2HLC7UkUJw4vmrvO/hN5418U7jxRPXtjiL3btG2b1r\nlL/65is8/p2zt5HeUZzyytlFVtZalAoZ7jw0TaWco1LM8Rufuo8wTgbpgjdX3P4t2eB//r2XOb9o\nFwFKGZabber9PoWsT6Ks5iHre+yolHEdSZwq1rodotTuDMIkIUJTzgaUsxlcTzJXqjKUyfFKbYV2\nFCGFIOt51lrEWAHgHdUxBHBiYwkDjOXzKBSpdumnCZ0kJeNKfOGAMfiOQ8XP8fGpIzy1fpFG3GMk\nKJJzXf5i4TjzvXUaSZeJTIX7h3czna1S9HLM5sashfo23jFsk97beE0IIbhjdIw7Rm+3Ozi1vMp3\nLl2hE8WcXVmn1Y/I+h6b3T45zyPje9yzc5ooVlxZ2aDgeUhlb/7dfkyqFKl0ePHyMjK1XMZU1bYR\n/uN3T/I//sYvUMgGtLv25qMA6UgCXzI2VGJ2skLJC1hdbxGFqc2aFgIpra8SwhYNoQCMnZ4CcCXX\nr9eYmRlmaXGTdxoqVTQ2uwyP3myRJHFKpxVSHbmddzh21yxTU5Ut7ccNTqO+2d0qFsYYvvn4adZq\ntke/ut7i2kKdz37yri1uJuP/8F1TP0pui7pNlCJJFQJBkuqtqSdHSi6t1Vjrdqn3e3TTGCPt9yFU\nyuZgpCmXa3W00Vys1/CuOGR8Z/A+Bm0MxcC2ogoZn1Mbq2hjmCtUSXSK7zuAhzKGRtwnNim9NAVp\nWOq3eH4rfsU6AAAgAElEQVRjnulcmal8icPlHSz3N7ncWeXEyjViHeNJ2/5c7m9yrrVM1S9xtHp7\nuyhUIa80z7IR1ci7OQ4W9zGaGXnL13MbA2y3pLbxZvDKyhoA8/XGFl/RjxMwxrY1ohipoZLLEngu\no6UC83GTXhih1CBVLUnRqUEaMFHCYq3JcJInilPCOOFXPnoXf/AXT1nL7CRFa43juHS7Ef1ejJGa\ntQ1749QDAhwEeHZCSAtlSfAbvlOJQkcp1zqrNNfaHLpzB/fdv4vZH0Eq/zh4/vsXuXRmiUc+fYyJ\n6SpJnPLtL5+gtdnjs7/50G3TT77vbhWLG8hkvNvaUavrra1icQNxknL+0urr2qzfgNKG3C0FJU4V\nSmuSNMUYjec6GAH9JGGonCVMUjphjDKaFG3Dk8TAjiWK0caQaI2RBuEIsspFGoNyDH2dorShmPVY\n6rTYCLtUgyxZz2O2VGVlYOvhSkElk6UWdq1LLQJtFCdri6xHLXYVq6z0m5xqLpKalKLn0lF9fCkZ\nz9qi205CLnVWeN/IzfAkYwxPrD9NM7H/n07aZT2q8ejYh6i8TRzHzyO2I1q38aahBy613ThBCrFF\nahtjSJWmkskQpYr1dpes67FnYoROP6LTjewqVhnrRDvwFEJbM7zNdo/Adfjzx1/ikbv3cs++HTz9\n8hU8ISHROBLifkJ9s4cKU6bHy1y7XsMog2skYO3DozBGxDfenBvGRRhjUCnUN9oc/955OvUuf/+/\n/QS7978zROad986xsrDJY18+wQc/cSenXrjKxkqLhz92+HVHZX8Y+mHyuo9vtnpcWajhOJK9s6Pk\nsz7GGK6tbPL8+QVqzS4Lqw1q9Q6x1qRa0ehZ/UmiNWmqwREMF3NU8znWul2K2YBunDCRz9JPEzaT\nEKUSS14bO9lkjC3SiVJoAWli0BIikxJ1U6Rndy39JGWmWGZPaYTdTpVQp5yqr9BLElKjUca6JGtj\naMUh6/UmroBTrQWaSY9UKzZjQ85zAJdYW8+pwHFflYOxEde3isUNaKO50r3G3f6db/rcb+OnD9sF\n4z2CA+OjrF++trVaDdMUV9qJmVRr/IGIDGC8UuBzDx7mF+7cy58/9TIXFqxZXj/VW6vVGzP9GCgG\nPo89d55vPnkWowyTI2WuL9ZJDMRRSkP3aLb6uAPBmu84DJVyNHSPdisEDCZWVprM4E212dpt3ECa\nKK5dWeP//t+/wX/5332KpasbhP2EHbtG2XNo0kZ3PnuF/XfN4g/IcaU0p5+9zKF7d+G+huW4ShVC\nCuRArJbNBzzyi0f55hde4LGvnATggx8/wty+tzaWOTVueYVU3T7pNTNd5fL8Bo8dv7AlrjtxZoH3\n3b2LF84tcPzMdbphTDbw6MYxnnTxPVjuWJ2NvIXvkEZQymaYG63STWN85dCJYuq9PkLYlp8wdgV/\n43TesPNQxpAOiggMLoG24k9XGgLHsbxXu8WvHDrEvzn7AhcaG2zGffsaqYgHH81zJL1Ec6qxTCPt\noY3dmSpt6KcJ/oCnyDkBFT/PwZIdi9ZG83LzAic2T3OlexlPugz5ZSpeCU+6pCalm3a40j1PL21T\n9UeYy+/DGzjUbuNHwGxPSW3jTeLu6Un6SUIvTri4WqOU8a1pn4FKxiNwXYqZgNFinpFCHiEE9+3Z\nwVA+yz/7D9+m2e4TxtZyQXJTcJfzPVSq6fdi+t2EMEwIXIdeaNsfQmu6UTpQHcOFy6sMl/Pk8wG1\njQ4m1QjsmKaRGtJbdhhwW8EwAlSqqa21+JPff4zp2WEAFq6sU19vsXv/BCefusDC5TUe/dx9OJ7D\n975ygvmLq5SHC8zuu33kUmvNd798As93eeiTdyKlJIlTnvzqSRYurVEdBC9lcm/9xhQEHh9+aD9P\nHr9IGKU4UnDHgSlmp4f406+9cFsiXZIq/vRrz1MdytMNrV5mpd5GOFApZHBcSTuN6Q90Fwxs5YUQ\nrLU6rDSscaHnSMrZDLHRKK0YCrLEKBbabVwhtjJRbrpBMggvufVkQ2oMnTjGlZJYpTy+eJWlbpte\narO+1aDQSCAmpZvGKDS1qEtq7Hy05wgyjocjYSJT5UhlkslMhUPlGY5WbEvu5eYFTjcvEqmIWrSJ\nQrEZNyh7RWZz04z6Qzxd+zaxtuekFq+zHq3w/uFH33H7l58NCPvH81OA7YLxHoEQgod37eSuqUn6\n/ZiXF1cGgirJZreP7zocmrREuec6zA7bPvyO4bK1pTACrQy9fohSAoShkAkwyrDR6uEZOw2UpjaB\nz7auNGli8zCEANd1UMZQa/TYMV7BReB7DkpptAAtJUJqhHp1sQC7KvZ8B6EMve7tcZwXTy1y9IHd\nfOjTd/PdL7/IX//5s3i+y+p8jfseOcT0a/AeRhtGp6qc+N45AB746GG+/flneeY75xieqnL/B/dz\n/pVFHvvyiS1O461g545hpierNBo98nmfbMYnjBO6PfsZmu0+a/UOUZzQ7EVUh/K3HiVRpCjm7TXM\nBz71Ts/eKAUkqUZIQc73aLT7CCmYqBZxuw6JUkgp2TM2xNML87iD1zhCoIW99jfGdF91TxnoYbQx\n9JOUyWKBC80NPOmQcT1irRBGYLQcfL8MkUqoZqzxYE9p9MBOJOO6lLws//DAJ7l7+NXjs5c78wCs\nRzXybpGu6tBXEWWvhCt9UtPdKhY30Ew2qcfrDAc/+1kWbwt+SnYYb84IZhvvOAqBDenJ+zZUJ+d7\nlLIBsbJkajkb8Kk795MZjHX6nsuusSG0siFFeT/Adx1yGR8pBP0oodULafViVGq1HEppHMf2rlSq\n0domvRltrDgsTigVAzIZ12ZlG1tM7E1LMFg83/wZHLvvuwwNFSlXsq+yLtfaEPZiZvaO84FP3UV9\ntcnqfI27HtqH5zp85Y+/S69zM7znzHOX+fq/e5J9d+7g2AcOcPXsEn/2u9/kxDOXGZ6q8ulffx8H\nj87wsc/eTb6Y5btfe5k4TnmrcB3JyHCBbMbuVgLPpVTI0Gj3uTS/QbsbEkYp/ThhdaNFaWAZkgv8\nrXbZzEiZjOdu2bDEqUIDnitJEkWzE7K7WuEXjx5g3/gIY6UCd0yNUcll2VWtMpzPkfU98oFHJZNl\nJJPjt+69G993MNIMzr8V4wEIIxBGUPADikFgc8a1puTaY9MDrydfOlYvkibsLY3xwOgcWccn5/pM\nZsvM5Ud5eHQfhytTr3luLKdiCHWEJz0qXpUhf5i9hd1knAyRDl/zdaHuv+bj23g1zFv4eTewXTDe\ng/Adh1q3x3KrzWKjRTdK8KSD0pp7d06TpopG1/4xnl9c59T8Kpvtns109lwKWZvxPVLMUcwFOAjS\nJEUbjSOtB5AwAueWy2+MIYlTGo0e3U7I6bNLRHGK58qtOFfPtTnaCIGQEsdzcD0H33cYqua54/AU\nh47sYPeBScYmb7cuzxcylKo5lNJcPXfTHnvxyjqZnE+vHfLNP3mKXifkzHOXef7bpyiUc7i+y4Fj\nN1e9E1NlPvubD21xFtl8wMc+ezcf/MSRt0R6/zBcurZBu9XnxVPzNFo9lNb4nsPOySr1Zo+d41VG\ny3nyGZ/7D85weG4CIwQGmBmpMFkt4Xsunisp5jIobWiHEWcX1tlRqfD3P/IgR3ZMkB1wVqOFPDnP\nw5eWbHalZKJQQBrJjnyBQf7UTcX94F+ekBR9n04Ss9LtcKW5yXrPHq9EkHM9qpksY5kiJT9DN4lY\n7bcZzRRxhUvW8ZjOVTlQHON0c5FO8uqb/1x+estCJFJ2GGDIr+AIh6pXZjR49YCDFJIR/+fb7uNN\nwYg3//MuYLsl9R7Dy4srdKKYoXyOWrvLRreLMdDuRjTafR4/dYmPHNhNxvOYGS7bCZ1Wl0zgUXKz\ntgSkhrV6x3IUCJJE42pLMJfyGWvlITRIn1BZRbTRBqMM2oAjrbdNrhDguQ5xNyaJU0tUK0M/VTbW\nVRscz6FYyHDoyA5+9e+8n2zWZ3y6wve/cYql61afkMn6PPSxwxjDFmdx3yOH7M7gyy/y8vHLfPAz\n9/DEX77A53/vmwDM7JvkA5+5B600j3/xeYQQlEcKNNbbXDuzxPTO4duI8OzbFMYEML+0yXeeOQ/A\naLXAZruHg+Dw3kmkFKw3u0yOlDk4N86R3ZNMjpRYqbf5F1/63s2dn+PQiiJ6cYJSesuepBsnDBey\nlLMZ/s4Dx7hSq5MqzWYY8vziEr7r4BmJxrDQafGV8+cZzudZ7/fo6xQEN3PfDSg0nSTmWquB1nYq\nSmmDNA5ITTVjPcs8KQlNxEbUJTdoWRkMi90GtaTJic2r3D00y1Suwt+YPsZk9uboccUrsxE3SY2h\nnXYx5BgNhvCky12VQwwHVXbl93OtdxFtNK7wOFy+m8D52Q8/etvwU9KS2i4Y7yJW2x2W222Gcllm\nymWEEJxaWmWyUqTZD2n1I9JBqyjrurR6IbHrcnZlg2Mzkzxx+gr1Rs+qvLs2kW+okGWyUmR9s2Oz\nuZXGMQLPtTchlWq00kRJimsEYuBYagzIQZS0Kx2iKMGTgjRRxFGK77vWSrsfD6aABEKBSTWuIynk\nAw4euZml/ehn7qZR6xCFCSPjJRzXobbSZOnqBvc9coiDd88B8KFP381f/elTTM8NMzk3wktPnidX\nzJAt+NSW67z45EXOvXiVj/7yAwyPFVlbbvLS9y8gHcFDnzj6muf1x8X5K6tb/x6u5IhT2+qK05Rs\n4HNo1zife/QuwLbaVuptHj95iVuDuB1pbV181yFRVpntOpJ9E8PccBZ0Hcm+MSt6+/qZ81RzWQqB\nT6IUa2HPjvbGVldR9AIyuEgpacYhobKDCgKoRV2+fe0ypaxPVnpkfJes5yGEJvBcxrJ5RjLW3tx1\noBn3acY9HGHHdBMl6RNztrVM2c/yzMYl/ubMvQAoo3hx8wwTmREmMiMkKqGtOlS8CvuK05xpn8Hp\nOOzOz7Erv5++6lL0yjhi+9byRpF3fd438aM1Pz+IP3sHjuVHYfuqvguo9/r8uxdPcHZ9g3ImYCxf\nYNdQlU/s28OJxRWu1TZJB5YSaGsqZ/SNsUpNJ4rQWnN9tcFGs0vGc3EdiVKaRjfkjpkxdo8PcWl+\nA+E4RCYl7FtbEaU0vu/S68XEiUKqgVPmoO3kYHcivV6MUIas75LLesRxSi9KyAYeYqACd6QlpqN+\njOe/eiS2Mny78np4osxnfutD5IsZWvUOjiu4fnqeoWqWv/yX32RjpYmf9dhcafHkF59jetco2VKW\nbCnHlZeu8uJGh6MfOMCdD+5h+B1M61P65nJvYqhEFCs2Wz2MgaFKnkcfsGK29UaHL37vFa4s1biw\ntEHW95CByw0XjWo2oBFFyEE/qZAJkNK6DP8gcr7PzqEKlzc2aSd9mmFIP00RUuDEEi0MrufgDMZ1\nHSlwHUuKhyTEOiVMJTnPI9GaYdfjQHUExxHMlatM5opkXIdTjSWkgOs9QIFGI8WAc1EprSSkFt0U\nMraSLtEthLbneAw5VWrJBknrpiZjJVzhwaH7mcq+Ng+yjR+Obhrz9Mr1d/sw3hC2C8ZPGJv9Pn/0\n3PM8v7iENobrmw18Z4Nrmw2euXSdc6vrNHshcZLSj1LUYKwz1hqMwZWSJFW8eHmJWtu6ivajhFQp\nPNchkJDGmm5oxy2FFLiOg44VSZyC6yDiFJVo0Dd3wgIQjkBqq/Im1XQTjXJTpDEEg4CfsBcjEahE\nDYzzDMZ32VhtcealeQ4dnXndz58vZmjVOvz7f/5lrp9dpN/qs++BvazM11k8t4R0IE01mWKOcy9e\nBSl4+NP3UFtpMrV7jKGJMk995QQf+tz979g12rtzhPklGyAkpWDX1BBH9k7yqUcOUy5kt573tWfO\n8NzZeeJU0Q8Tas0e+WzAzukqqTHsHR8hcTTL9Ta9OMZxrLvsv/irp/jgoTke2DNDPrAk+5GJMV5Z\nXkUA9YU+CNvWSrWmHUUUg4CKm+EDu3byjesXWe11rIGksVyFlGLL5dY6zQpGcwU+ObufQ0N2UqmT\nRFxqr5N1PJxBZKzPTYGeOzA3HM3cVG3n3SyOcFBGbT2mjaaTNCm5t0y2GbjQubRdMN4KtvMwtvHD\ncGJ5mc2+Jaw3u33CQbsjTTUbrS6zxTL5wKPbtzqJjOfY1DQMQkhc6aBSzUq7TaoURlkrC2Wsp5Tv\nOBw/c40otC0L33UoZzO0sTcUIYS1ARmsol1pdxdaGRxH4mlBmhq769CaODEEnkscp3iOQKUKz7N2\nF0msyOUCRsZKTE5XefGZS+zeP0HwIxxri0N5itUcvVYflShOfOtllq/W6NVb4Ej8rE9hKmDt+gZh\nL+KxP3uK6nCJf/h//ac88cXnyZdzlF8nYvXHxe7ZUbq9mJfPLhLGKYVcwMR4metLm+yddclmPDZb\nPb538gpLtRbdMLKWIMbQixM8T/LI3Xt58PBOvnriLMubbTxH0uyF1Do9NrshqdFcWd9k18QQz11b\nRGnNWLnA9c0m3TAiVTbfAmFIgU4cM1ut8F88+D6CjMO/P/sK/STBZZC059oERGWsmG9feZgHx2e2\nigVAwQv4lbm7ebE2T0/FnG0t4cgsraSLJx1GMwVGgiLvH9m79Rpfehwp7+Fk4zypTqnHTVKTkHOt\nqFTeorOI1O2j1Nv42cN2wfgJox3FZD2POFVbxQKgF8dIYbened8nHyTkfUMhCKhmM/TjBF+6lP2A\nQDqs1NvoVLPR7SLA3mA0GJXSSEOCQWHpdmM2al1IDQ4QholVT4MVd2kzMBm0LQ60wZE2MjJNzcCe\nJMWTgnwQMLFzFBWntBvWcltKydhEiW6rz+Z6m+PfOcfc3jFGpypksq8tqBNC8J/8N59GpZrvf+l5\nVq6u09u0uRMoTdwNuf7K9a1VV6/RJezF/Ot/+hd87G9/gI//2kNk3iaSu9MJcRxJ9geO9c6D0xw5\nMMWpC8s8ffIqV09eYXmjhdaGjzywj0zOpdkNSVJFL0pQ2AEDxxlcCwMHp0f5Z194jE4YW11HFOM4\nDq4bcm1jk5OLS+BJEqUQArppSuBbl2GprfBOOoLAcZgqFZkplygFAR+e3cWXL56nFYZ2cSrsTmgk\nmyPnebhScv/EDA9NvrovXg1yPDp1gEcm9/NKY4mn1y8R65jRTJEDpQn2lyfJOrefi8PlvRTdPF9e\negwpYDwYZrG/SKhW2JW/OSE1ntmeinrL2N5hvHEIIT4J/J/YFvofGmP+l3f5kH5srHU7rPQ6DGdy\nTBdvbvHnKhWu1OuUAp/1jr1JSiGoZDL0hGPFeoMQnX6ckPU8sr7HwclRAumSES7GGGrNHs2uzfK+\nYSlxwxYk0orAcYhCazCIASEhVQapbmZ73SBNAXJZH2JNGMXWf0LZ971hWaERxLEiChPyOZ+uK4l6\nCaVKQL8d0dns0ap3uHjyOrmcz55Dkzz4yB3c/+EDOO6r+Q0pJR/6Ww/y3c8fp9/uI6TEKNv2uNUm\n4UZhcz2X9YU6Y1OVt6VYtNsh3/nuWTY22ggh2DU3wsMP79/iCMByOS+cnqfW6HDy/BJxkuI6ku+/\neBlcweRwkdXN9kBRbQ/UdVy0MSyuN3jizBVSpenHMf04JdEaDaSpotbrcb3dREpJ1ncRUpAoRTeB\nTODjCIk2du7dlZLxQgHfdTi+MM8fvfyCHZsVglhrjNZEsSJX8RjN5tlRKHOt1aAZhZSD155UEkJw\nZ3WaO6tvLBWxnXYYCm7yRpOZCRb7S/TSkJybYSwzxh2lg2/5evy8Y9sa5A1CCOEAvwt8DFgAnhVC\n/KUx5vS7e2RvHY9dv8yJtZtag/3VEf7G7v0IITg8PsZiq0WiNa0wIlGaXdUKU6USp5ZWyTou/SjF\nYMh6HkO5LL044crGJr/xwDFOXVul3rGTUb7nEsXp1upEAGgr2Or1YxjYUoCNWjWDJwkhcBAYpe3M\nv+swNVZmZWFgT27A/MCSRwBa2ZS9zY02aawwWqNrimLWo9PssXq9jooTdKq4cnqR4986zfs/dphf\n/e1HGN8xNIiRtcezcGGFv/i9v6Jd6wymhjTClejUcjWIgdLAkXiFgGwxQyYX8MSXXmB67wQz+348\nc8MnnjjHxsCZ1xjD5SvrFAoZ7rlnbus5nV5EGCWcurRCf2AFopTm+vImY2NFZncMcS5YpxslNy1E\njCGMEza6PX7/60+z1uqSaIUyeuANpWn0Q3om2SK/e1GClAJxgxz3PWKVoo0h63qM5HOkwvD86jJn\nGutcaW3SiWPLX0h7+ftxymavT8H3udKqEzgOL6wv8pHp3W+LPUcn7d32e+AE7MrPcbSyj535aQru\nO9ci/LnAtjXIG8YDwEVjzGUAIcSfAp8FfioLxkq3fVuxADi/ucHB5ih7KkM4UvKpA/t53+wM79sx\nw0vLK6TKmgb+8rHDZB2Pk/PLTBQKlDMZOlGEKyXDhTzlQoZd40NcWqkReA65wMNFUG/3t5xqBdaC\nSBk96G+LmzdgMSgExqqyMQbPSHZMVhir5FlfbiFcicSgopuOaI4QluhWBrQi6tubp5SCNFX0w5jm\nWgsVp5hUY5RBKUWz3uXM89f4t//86/zmf/VxXnjsNB/5Ww+QRAlf/sNvceLbp1BK8w/+j7/Lv/6f\n/oz24AbOrTc4IVCp5r6P3sGBe/eAkHz3C8/z6K8+yOTcW7NR7/dj1tZbr3r82vXabQWjkM/QDxPr\nOIs9HUmq7I0/1fSilFzgU8ikdKJ4qzXYT1OWNltExqrzldIoYGD+S6o1IrFDBtba2o47SynJZT2y\nvk+QWrdZxxFs9HuETkpsNO04pBGFW8MQ+sbggjRc7zSpxz2U1BgM17qb/OHp43x8di8HqmMcG54i\n4/5wfmktbPJM7TxrYZOs41P2MuRcn+nsCKNBlSvdhdueL4Vkd34nWXdbb/HzgvdCwZgG5m/5fQF4\n8AefJIT4beC3AWZn37txkUudNpthn3rYx5WSsVyerOux3Gmzp3Izm6GazfKBXTt5cHYH650uxSCg\nmLGtluFcjqcu2TG7cu7mH6MnHXaPDzFUzNKLYg7PFjh9dRWwGRi3jjz5gYdMDNIItNKkqRlMWdnc\nZ2U0wkC+GBDHKe2e3ZGU8gEqUnRjmye+xW2kGis3Nni+Hc812rZXluZr6E5sb2KDaS4jQCcpcZiw\nvtTg3IlrzF9a5ff/8X/g7/3jz1EcKjA8O8L7ju1k1+EZmz99o+Jt6ZiBVKGV4nufP87S5TX+zv/w\nN9EahideP2L19XAjWvUHx1uDH1CKu47k8L4pXr64RKcX0e6HNiY3cVirtRmfKDFaKRCnKRprQ2+M\nHX+9kbNtdS6DyzJoDRogMXZ3l+qbn9sBRos5Eq3wpEMplyHWilQpap0+2axLN4m3pqG45ZJjDLFR\ndAe6nXKQYbnXphb1+PzlU3xkusf5xjq/vu9uvNdIz4tUwteXXyRWCZGKeblxiVSnDAV5Ep2yMz/O\n3uIwG7HdhUohOVY5tF0s3iYI86Of86bfU4g/Aj4NrBljjrzGf/8I8EXgyuChzxtj/ufXe8/3QsF4\nQzDG/AHwBwD33Xffe7bjN99qcq5+M7N7tdvhjuExhrLZ13y+5zhMlW8Pn9k/PsKzVxZuupYCgetS\na/Z49pKtrbGyudGulBQCn36Y2GQ8bBZ4PhvgFxw8JWi1+0AKRuAKB7QhTizxXW90aTsOxhgygUe7\n2UcM3kcIsfVFFsIWjqgX2RucsW6yJtH2+WbAedw44IEIMA5jDJpnv3WKZq2DEPD5f/lN4ighXy0w\nNFHlL3/36zTX24Mdjd0JDaL+7HsZiPoJOtHc+9EjWwrvtwrfd9m3b5yz527fCR6649UjoUcPTPGN\n7+dZWGuitbHaB0eAI5hfbTIxWmK0muf5Cwt0+jFS2gGCME5wXYdC4BMl6Y06iJC2GKbGFnk70WrP\n7Ughx7GpSYQv2ej32Oj2MBgub9ZRShNGKakYFBpze7GTUuBLCWg8xyFSKaFKcaWgk0Q8H/jMFiqc\na6xzZGjiVZ/zWnedeGD7sR41SbWiHjcJdZ+Cm+Vce56c6/HxiQdJTMpIUCG7reR+e/DOjdX+MfAv\ngH/7Os95whjz6Tf6hu+FgrEI3Dq8v2Pw2E8dIpVyvd2gksnSCO3orDaaXhqzv/rGYyyLmYDPHDvE\nU5euU+v0GCsVODw5xu987fu0+tbrx3cdso7HYtLAdx2Ua4nPW00BsxmPBw7MYELN8lqDViei0eyx\nstZEDhTeqbbtkPV6h9nxKt1ehEjN1sSU59mpnThJ8LUckLYaacxWoZAStLT+UkYYhLDVIpPzwRh6\nzT5MVhACpudGifoxV88ucfThAwyNFVi+vEqxmqc8WsIY2FjaJA4TnMDFz2UwaIJcQGWszMZCnbHZ\nHz8S9IEH9lAoZLh6dQPPczh4cJKdO29/X60Njx+/YDNCXIfUddACHM+qt5vNHqnWDFdv2p1bsscW\n1ChJ8YQ1/tNojBRWhCntbkIPom4dKVBKU+/1ePb6IjtGysRCb2WIu1JiAIm9ZhKBJ+y51oM7jetK\nin5AR4WkWhFid3rpIAjrartOolMeW7zwmgXjViQ6IdI2FfAGjDG0kz71uMMd5bkf+/xv4wfwDnAY\nxpjvCiHm3s73fC8UjGeBfUKIXdhC8WvA3353D+mtoZckpFpzYGiEer9HJ4nJuh6Hhsdw3+SqeKpS\n4pfvvbmL/PzxV7aKRbsf0ez26UcpOlHoWKNSM/COYqDClkwPl4gixVgxB8bQD2tbca7AzeAWO+5P\nrxeRywdkHQdTzNDrxHQ7ESq1ORFhlCAcgUjF1o5CDtToN77wwpW4wsF1BLlylum5EYZHi4zvGOLo\ng7v4s9/5a4rlLJmcj+dJ7nn0KI/92TPM3jHDf/6//SZprPjjf/rnPP3F5zDGMH1gGsd12HlompGJ\nCpXxt0fhLaXgyJEdHLnFzuQHsbTWoNUJqVZyjA0XWN/s0IvTm9yOI9k7OcJys0Uu49NP7LBCL04G\nhed6sAIAACAASURBVEWSppp84NFLYrQEpECjcT1JYvSA0xjMWGnFaqdLX6VMjpS2FOLlTIZOEmME\nTGdKNNKIwHUIdUo/TXAcyXgxT2hSlFB0VIQjxBbPIYRAGU1fJTSTkEbUpxLcvuPdmR8lcDwilVDw\ncqxGdYSAzGDE1pEOeTcg0q+dULiNdwUjQojnbvn9DwadmDeD9wshTgJLwD8yxpx6vSe/6wXDGJMK\nIf4B8FfYhdcf/aiDfq+iHGQo+gHtOGI4m2c4a3MTZks/ut++0upwtb5Jzvc4MDZC4N5+aVabHTK+\nR73dZb3ZJU5SwiTFRYAEaTtNAy2A5RrmlzY501/BMYKpkRLFTIB0rOOsHmRaCKxa2/NcO/8vhc2h\nRuB5yq5+jSFJDFJpPEciPQeTGCsoVHqQ3GaJdceVVEeLZDwHnaRkcz7jO4Zo1jp890sv0G73qY4V\n2X1kB2Ev5l/9k//I3F1zPPyLd1Mo51m6tEp1tMz47nHqq02OPLSfIOtz5vhlyiNFom6EH7y+MPDt\nwg2LkIzvMVot0usndCIbThTGCdmMh9KawHUZKmfZaPXoDyJ2tdbWGyrn0+pHZDIevTTF8yUJmlYc\nDQq33Y0wqLupUla3ESbsGCmTak1sFFoYQqXoJSnDQZbdI1UWOi06SUwpE1AMfIazOXYPVXlq9RpX\n2nXaSWSLk7RcyVi2QNELaCXhVsHQRnO5s85G2GZ/cQcrYR2DIdUJy+E6rnBwhGRnbhQpJDO57XyL\ndwRvrSW1YYy578f4v74A7DTGdIQQfwP4ArDv9V7wrhcMAGPMV4GvvtvH8eNCCsHH5vbw5UvniAea\ngrFcngcnf/gqFuD5+UWevHL9lt+X+NVjhykEN/UGOd9j99gQCxsNUmVVxQLLVyg0CIEcTOFobVit\nd3BSCDwHow29xYSp4RLTY2WifkK3G6NIGXQukEC3H5P1XDJZn85mj2ajZ8ltA2iNVoZYKWt3jkAp\nhUk1DLyopLTOtN1uTG60iIlT2s0e937kEI9/4Xlamz1m904ws2eMy6cW8DM+Ugo++0uPsP/YHEuX\nVnn8z5+hVe/g+h5zh2coDRV4+JesEd6ppy8yc2Ca933qrh8qCnw7MT1WJht49KOE2fEqWd8lvarp\nJSnlQoZ81ufi4gbSEyRGb1mxCHODx0hRGMIkwfUcSoHP6HCBSxt1Oxk1GA6ArZqB6wxyRxRMF4o0\n04hIKyKtSOKQRGvqYcjG8iIHR0Y5Oj7BUrdNKwrZOV5hV6nKathmPeyg0cRaEUiH8VyRQ5VxfMdl\nIms5M2MMX106yUK3vvWZp3JV/t6eX0AKycnNSxyvncaVDlnH51h1HyPBO+fh9XONd4GVNca0bvn3\nV4UQvyeEGDHGbPyw17wnCsbPEnaWqvxnR+9jvtUkcF12FEqvOwcfJinPXLt9XLEdRTw/v8SH9+7a\neuzuXVM8cfYq1XyWbhjjOYYIS0onicEoYJDQlyhthXfahvh4joOQgm4U8+AdO2k3QzzZI4pSK9Qz\ngtQoSvkcDtb+I0oUycDFFm71YcXqNxyJkC5IWzQcz8EVoIUgnw84eGSKuBez/65Zjj92mvmLK9z/\nkUPsvXOGB37hDv7j736T+QsrHPvgQfYfm0MpzfFvvER5pMinfusjLJxfZse+Cf76T77PM3/1EsM7\nxxhd67BwrcZf/OHjTMwMc+f79jDyY0xL/Si4rsNH33+Af/vFZ7i2XMd1HHZND9OOYtJUUe/0SbSm\n4mWIE4UjJeVchljZ0dtenOD5DsZAP04IVUpat5kkjpSWxzCGlBvz0AMDSCGYLBfIewHlQhbHkSz1\nrEAwUopekiBcOF/bYLXXIetZd9rLzQbNJOLU5irdNCZSin4a0xcwnM2wEXX5e3NH8B07JXW9W7ut\nWAAs9Ta52tlgd3GMu6p7OFLZRSfpkXezuK8xXbWNtwPvTr6FEGICWDXGGCHEA9h1Y+31XrNdMN4B\nBI7L3urwG3puo9+/bRrqBmrd24VSu0aHeOLsFeRgHDTrefhS0o9SXCFQgzWqMbZQCAlaMdBnpGht\niD2Xy/M1e1MaqMlt/oUgNYLaZhe0RvUVGdcWGaU1wgGhBELe0HkM3HOFwMt4qERhlMbPBZTKWT7x\nmXs49uBuZnaP8PiXTtBp9tixb4JHPnsve4/s4DtfeI7qaAnp2BV5Y6NNZaTIR3/tIfyMR5D1qY7a\nVfDHfuNhvvonT/P0X77I3AEr1quttjjx5AV63Yhf/I2Hfqxr9aNwfWWToUqecimLlIILCxvkA49s\nNU+oFcGglTdVzNCLEobLOTpRzGa3T6IViVIkxq70HSHY7KmtsV7nhmGg0ihpSe7AdRkr5qnmc5xc\nXibIuNTCHv0kJlIp7ThCG9CpQZkIBCjtk/U8HCFY7bdoRn186RDJFNe1hamTJlxp1bnUqrG3bMn9\netx5zc9cjzvsxraeHCEp+9uivHca70S5EEL8CfARLNexAPwTwAMwxvw+8CvA3xdCpEAf+DVza4j9\na2C7YPwEYIwlpJ3XIL6Hclk8x+Y734qx4u1/pI+fuQz/P3tvGiTHeZ95/vLOuq++7wNA4z4IkiBI\niaRIU7wk25RlyfbaGo/XY89uhDdiI+bDxMZ82nBszEbMh52dnZjxxkZM7IxndsaWLUuiJEoiKR4S\nT5AEQaCBBtCNRt9X3VVZlee7H7K6gCYAAjwgkVQ/CASYyezqrMyqfN7/9TzA0fF+HM9jfqOMIknk\nklFEJKDRcKlZNq4XdihtSoUgIIDQMU5VcAOfubVSaKjjeHh+gOcF2HioAeAG4Aa49qbOVShljhKK\nDsoCvGbY2RMEAs8LUGR5MxtPtivBU98KH+Ivfv8dNpZLHH1gN3MXVjnx4jlO/WIKz/a478nDZLvT\n/PS/vcqzf/Mav/GNe0h3JK65PumOJDv3D3L2rVlmp5bJdCYorFaIxk0Gx29/Pv3SQrjg2rx36ZjJ\n/HqJeMLEbLnlaarCjr5OZlbzmLrGSE8W23V5e26ZatOmUfdQW4qwequGlIlEEDLYnkdU1xnpznC5\nVGJ3dyepmMnk6hoRXWU8k8HJ+1wsFrB9jwCQFNFqxhLUbAdTVcNmB1liMr9K3qmT1E0afti5JbUW\nB5IEP5yf5NHBCQC6zeunl7pusH8TVbfGUnMFVVIZiPRiKJ+cedWvJW5TW60Q4vdv8v//L8K221vG\nLROGJEmPAN8A/q0Q4qQkSX/2ESryvxYo2000WSaq6by1vMiJlUUKzQajqQyPj+0iZV7pX9dVlftG\nh3jx4qX2ZyYdMblj4MpMQL5m8d23Jlmr1EIRQkWhN5tAlWUOD/chHMGFhXUWN8pslOvtfHh71SJA\nUcKU1OJKEdvzcIKrnNsQSL7ADUC5SmsKWpFKEHbabPp5a4aK8AWiVc8IPJ9EKoKhq5QKdZ59+l26\nOuMsXd4glomjmTpf+q2jPPNfX+XE85P8/l88wujesK7zyDeP8/y3X6dWsq5LGADpjjhje/o4+/Ys\n+ZUyACO7e0lmYh//Zt0EmrqV5DvTcZquRzJqsAhomsJoX46oobF/qIe79w4x0pNlrVKj7DlMLa0j\n6q05Flkml4hiuS5RTSOTjOL6Pl2pOONdOb5x9ACXSyWeOX+RlXodqQGrVp0dHVkOdnZzMr+C4/mA\nhNpKc7qBT8W1kRqw5tSoOjYCqLt26MVNWKMyWmmoinNFUbYvmmFXspfzlSvzKDsS3QxGrwyYvh/z\n1iJvFN5BtFpuz1TO8WDnfSS169+7bdwcMV3jnoEPtgW4Hv7bbTiXm+HDRBh/AvwPwL+QJCkLHL49\np/TZRiAE371wFoBDXT28ND9Lw3OZzK8zWy7iBj5/tP/Ilp852NfDQDrF5UKRmK4z1pFtt+EKIfir\n519nvlDC9XxK9SYCQcIwSEVMFFmiZDdaxkbhahc3jFZkNUxdbAr4NZsubuC2JCladY/N0ECiNZC3\ndamzGalIqoyiqeAESKogltBxLBfPslFNjc6eFFFTo1ZucOrEDA8/eYh0T5pi0aJebaLpCo/93nHu\n+MIuBsavqJqmcnF+879/8LoChZsYmejl5R+c3LJP1RQGx7tYXy1z8s1LPPDIvnb31Mpikcl35/ni\nI3vRtI8XRO8d7+Xnb0+3tyVJ4tHjezi0u59X3ptlZjnfrlGlExEuLK/z5sV5ylaThGly1/ggxXoD\nv+VloisKpq4y1JGmvzON5TqMdWZ5aPc4XYk4z0xdIGqoBNVwkr5gNTi1vMp4R5YjPb1cKObJN6yW\nkGEACjjCY9UKSUhRFFKqSsWzkaRwkE+XFZJ6uEjZldoqp/JQz172pvpYt6vkjDh9kcwNr0UgAt4t\nnWmTBYDjO5ypTHE893GadX69UXdcXluYv/mBnwJ8mG9TVQhRAv6ZJEn/Erh9DjafYciSxJeGx/ju\nhbP8pzMnSWgGF4phWmMokWbDslir1+iKhSmncrOJ6wd0xKJko1d64zfTWN87OckL5y+FPfeOEz4k\nhES1aaMIePncJbqiMep1J/T19gWW5OAKn8AL22IlERIZAjRJIRAte89W6iqsuUlIUssHg61RRiia\nB03Pw1BlZCGhGArZuEmjqtHTn2Hf/v7QPrRQY32pxIs/PkNHd5IDd4yw745hfv7sGQZHOhnZea0E\n9geRBcDS7AaKqrDz4CB9wx3MXVwjCAQbK2VcP2B+dp2/+Y+/4Bvfuo/CRo3nnzmFqijMz+YZu87v\n+zDYPdaNJMHZmVU832dssINDE/0ossyX756gWG2wXqohKxLPn7pIId9gfqNEoWZRd1yOTQxy59gA\nZxZWcTyfVDRCLh0lkAXvLCyRjJj4COaKZf7o2GGm8wW8ILz3dTcUNbR9nwv5PPfvHOFsYZ2YplHz\nXFwhkJQwXSYjkKWWTlUgE1U0FFlHyAFZM4KpqvREEvzJ7rvZaNaoeza9kVSraypNT+TmzQNN36bp\nN6/ZX3bKH+sab4PPj7y5JElfB/4O+MHmPiHEP5ck6S9u54l9ljGYSPFbO/fwv73yAvOV8Mt0sKOH\nqBaugGVJwvY8fjh1nrlSCYCOWIzHd+3i3Moap5dX2xPY+Uod23NxAz+UspZB8sKuGst2qdRs6lGH\nmKqFsxm+BzKouhw64onQHElupTEkCQxdo163aTXEtrtzpM1OHaStkUZL4tzzIMDHUGTKNRsvKsh1\nxtk10YMkSfQP5fitbxzj//zL77J4eQNFkdh/dJhXnpvk8sw6HR9h6E4Iwdm3Z+kZyvHQbx9F01Ua\ndZtn/+5Npk7Ocf9XDpPtTPLKC+co5mukMzEMQ8MXgpMnLjE82omifjwpkYnRbiZGrxBPvelwfm6N\nhhO22+4a7OTNC/NYtsvF5Y2W8ZWK5bicvrzKsV1DpKImUVOnOxPn9Moas/lQk+nSRoGp1XU6kzHW\nn68TjxpoihxKkHgSARDIAb4UcHGjQErXKdp2WEMirE95Qaha6wR+u5BuKAodkRhD8RR/vPcopqKx\nK9XJT5YnuVQNuyZ1ReWR3j2MJm5tct5UDCJqhIbX2LI/rW+32n5sfF4IA/hPwO8Af7i5Q5KkfyyE\n+De37aw+B4ipGl2xOIWWRIjWSjH1xhN0RGP8bHqmTRYA6/U6f/nczyhXmwRC0BGLslGuQyBoej5N\nNzTpEQgkGVQh4brhEIXluGGOfFMsUNLw8XEUH03I6C3rVV1TMBWFQt5qK9sCIEkISYSTxfLWVJV0\n9XGE3X9CkYnHTTRd5ejxHezf28/87AbHH5jg1IlLDI138vYbl3jnrcv86//1u3T1pjl6746b2rcK\nITj5+gyxuMGuqyawk50JOnvSaC1xwEjM4JGv39XefvJrd7KyWGL6/DLNpktPfxYzovHw4wc/NlkU\nKxa241G1bIJAkE5GeOb1czSdcOL5vell7tw9CDIUalZbGFCSJLKxCF3pOIMdae7ZNciFtTzfO3mW\nxVKFohWmEa3W67i+j+W4KKrcTh9piozdWgAoskwgAlJGBM8PKLkN/DDeDO+TD74EhqwQUzSyZoRD\nuR7SRoTheJaOSIyThfk2WUDo4f3s8ll+zwyTBWW3xsXqCpIEuxJ99Ea21jJkSeZgah9vFN5up6UM\nxWBvcuJjXeNtfHZwK4RxDngR+DtJkn5XCOECfwH8h9t6Zp9hFBoW3z5/hv5EkiNdfXx/+iwXSnm+\nMj7BI6Oh/eWlYnHLzyxXqpxcWqbHjCNLEsuVKjXLwWrYmJoSympLLdtOGfRAAUUgET4QvcBHRsHU\nNRKmQbFUR26J1ElCAknG8QJU5LY3AxBGFFdJZctKGF1IopWvCq5MIiM2ZUektq9GX3+GkbEuLk4t\n83//65+QjJvoEZ3Dx8eZfOsyKwtFkqkoew/dXGFYCEFpo8bpt2YB2LmvnzdemmL63ApmdGsnztXb\n+bUKsbiOosisLpeplBv8T//8SVLp6Ie9dW00mi4/fe0cs0sFLsyto6oy44MdrJVqpBIR4leZOL1z\nYZGv3rev3Unlej6O56NrCgO5FLv7OihaDU4vriKEQFdkgkBQqFmoqtyugSRMg95Egv50gkulAvPl\nMrIiIStSuwU6qqrUXAdDVrCFIBDhZ0JrHaMqMrloFFNRqbg22UgMs6UaMF/f+plzA4+TxVnOlC9j\nqBKecBmLd2EqGtPVZR7sPsBYfKvu1GC0j4yeYqmxgiIpDEb70OXbP0T5ecftUKu9HbgVwhBCiH8v\nSZIFfE+SpK9xe9qGPxcIhOD70+cA+J1d+8hFohzt7eO7F84iJIhq4ZcromlU7SsdK+u1Oookbb2w\nssDxfFRZJhOL4AcBmixTrIV55JimYduh4KCmKOgoZBNRxnuyvPxuqFgsJPAlCUmBqKKQNEIyaf+i\nq/hAbm0T1krb7bmh8mw4h5FImBAIUqkoPT1pRkY70U0N2VCp15q4rk+XqaHJMgePDDM3s0a10uDC\n2SV27rlWDXbL25Vl7n9sPy89c5rXX5zizZfOEwjBviPDHLln/Lo/s7JY5PlnTmHoGnsPDVEpW1ye\nXuOZf3ibb/7xFz6yjMjr782ymq+yuFYOZyl8n7nlIk3PY261SG93ikw8Sipu4vsBiiTxzS8e5i//\n5lmWS+EAbTxiMLmwykB3hjcuzeP4PqmIyUatTkRXseoOciBh6ArZWJSAgLcXlyg7OXLxKLquYvse\n+WYdCIlalWWShomBik9AyWkgCKPHhKnhI3ADH1NRWbVqPDK4k7gWkltCu0JybuDxZmGaolOjhyTl\nRhldDttz96T6EcDJ4qVrCAMgrsbYlbj+/djGR8TniDCKAEKI/9gijR8AH33p9jmHLEk8OroTTVbI\nRcLLNJhI8ds795DQDRarFRquy4Hubp6rhYNT67U6y5UqmqxgeS6xFqnEIwbdkRgz6+HKUFc1FFmm\nM6VQr9ih5aoiocoKcdMgqmrs6O1Abc1YCASqooRqp4HADgSVuo2QJAIprG9sEsdmAVwiJJnNGQ4k\nCSGHPhqpmInnBeiyRKPpsG9/H50dSX78zCkkRWZsohfH9pi/tE5/X5p7HtjNH/zZA7z449O89kJI\nojcjDUVVuP+x/fyXv3qBQAh0XeXI8fEPnJbXDRXXDYhEdZ586ig/efokU2cWuXxpnZ27P/j33Qjz\nK+E1rzevkHq+XKfhedQsG81QyJfr9OZSjPZlSccjyKpMOhGh2GhQtx0KlsWGZYEmE4lo5GsW69U6\ntu9jez6GomKaKnv7ukGG+XKFdCRCImJgFV1MRWE4nWK+ouKJsNtJkST6k0mswKHuueF9BFRNJm2Y\n4VCmLJHUTTJGhHt7R9rnfygzwPnKGo7vsWFXqboNoqreEioMaPgOZcfC9j0MRaXmXVvgBrY4J27j\nE8Dtkzf/xHFTwhBCPHzVf39bkqQmoc76Nm6Anti1PemdkRj/MHWW5VroKqfJCkf6ezm5tMJG3Qof\nArZD1XZo+C5xzeBgXw9/es9R/vcfvcTZpTUqTRtNgZRpIDyBcMKhOVNTGe3K8ue/cYzppTyvTM4i\nSaEBkNxiBFWV0WSFRjVUTRWturYkCPWkCB3hJAGIsKYRdlJJ9Pdm6O1KkklFkYSg2fCIx3Qsy+Xp\np9/BjGhk4iYrlSb9g1mW5vI4vmBkRzeqpvLgYwd48cenbyksFUJw4hcX2tuO43HhzOKWmsaWa92f\noac/y/JikS9/5TCpdJSv/+G9PPfDU5x+d56xHT0fqY4RMXWajkdE16g2QtKwbJd4zGg5JIbvZq1Y\n4/cePoKqKsysFKjbDooio2sqjufheT7Ty3mOjPcjSRKrlSqJiEFPMk4qahIosFav0/BdAqArGaYk\n04ZJsdkkbZr0JRIUmw1ysRi7OnOcya+x0agzXS5QtCGm6XQmYngibKfekc7REYnRYUbJGBF8EfDS\n8gUu1QrEFRNZhUbQpDuSgJbJky5rOEHL5a/13vrfV8O4XJ/nTGUKy2/QaeQ4kj6wPX/xa4YP3aQu\nhHga+PiGBL9mOLG82CYLCAeuzhU2iKkae7q6EEIwVyyh1OqhjeuuneRiUU4urvBP7r+Lv/rZ6xQb\nDZKmScVqYqoqqqSQ1A0cz0NRJNwg4MBoLxcW14noWugVLUkYrbbVdDTCQrm5RbZmMwMlSSFhCAFS\nALRSUPsn+uhIxRkeyLbrFgB+a9ZDCEEiorOyVOLwnaMcPDLMwSPDPP/j9/jpD9/lyaeOoqoKX3ri\n4E1XpUII3nhpivOnF9l3ZJhDd4+201PADUnj+BcnsCybRDJsS9Y0hYefOIhjux+56H1oVx8vnLhI\nb2eK+vwGgQiIRsI6yR27+5EUGc8PSMZMenOhjImuKvhBQNP12teW1rW1bIcdnVk26nUMTSUdi1Dz\nHfK1BpmoSW8sQaHRYDZfIBXpZSSTwc2HMx6rVp2m55GJRRECvjQ0yrnCBmPpHHXPxg48yk6DM8VV\nVFnBUFWSusGjw7vIN+v827Mvcb6yBkBE0ZhIdbEr1YsvXKZr4f64EqMiqvREUqiyQlqPcSy3q309\n1psbvFl4Z8v2zzde57Geh5Clj9dY8OuOTbmdzwK2pUF+SVioXOshbbkubjNAVxQkCYazGYayaZbL\nVc6v5YkbVVRZ5s3LC0RMnYFc2Ct/6vIyDddDlQOiqkrddqjbDs++d4HFtTLDuTTj/R3MLG1Qazg0\nnIBcMkq94YRFVB8CIbUrbaKVdoIwVaUICUNTyaVjfPOpu5m+uMraRpVy2WJspBPX8Zib3SCVilK3\nHEQg2H9ggINHhgHo7k3z8GMHKRXrqC2yupUUhhACp+mFNYtWGmqzpuG0pUquhaLKbbLYhKYpaNpH\nF8vbOdyFoatMza4x2p9DU2XyVYtirUHEvFIXiUUMkrGwq2n3QCfdqQQr5TDVqCoyXhCQiBggIBWN\n0JNOkklEWK5W2bAsmp6HF/j0Z1IUWrpidcclaRrcPTCAokksLlfoiEURCKbyG1Rtm0dGdxBRNeK6\nzvPzF3l+cYa7ewZDkyXgkYEddEXifHv2JJdqV/TkGr7LXL1IhxnnQCZsRFhtVggQPN53iPu6dqLK\nCl1Gass9u2xtFcgEsDyLdTtPt/nRvNW3cRU+LympbXwySBnmlggjEIJio4EmFN5dWQ69ohUZ1/Up\n1ptEFRVDVchGouiKQqnWIBeNEAhBpWlTqFmYqsp6qUZM14lpGlOL6yxvVFAkmX1jPSiyzMxSHkNX\nODzWx0snLmJ7oR5Re8IbQAYRSO1QQ5JDz4v+vgz337MT23IolS3qlsPU+RV8J9SVSuViHDo8TClf\nY3a+wMTeBsnWg7urJ0VXz4frz5dlmfse2Rtaw7YeVoqq8MATBz62LetHwVBvlqHeK2mZpuPyw1fP\nsl4KCUHXVB48PN42OtJVlT/78jH+1fdeYqNaR1VkooaG3JIESZgGv3VkN98+ORm+t1aTQ1TXwwgk\nl2OpUiFtGqiqQt6u84uZeYoNC0WSGUilGEmleHt1ielKgYiusivTwXQtT86M4gUBZaeBJEn8bGmG\n4XqKF5cuUnEaeMLHDjwUKXT/swOPJ/sPczQ7QsVt0htJ4wmPolMjoUVuuUYhbfe/fDLYJoxtXI07\n+/q5WMxjuS6KJHFuY4O4prNSqTJXCv2iZSFRsx30QKamKKESrVKkIxZFkxUWSmEni6bKJCMmgR/Q\nCASFuoWZTGLZLg3X5cziComIjicCVD1srT03t0bD8UKb7Jt8OH0RypePDOXIF2scv3scp5WCmp5Z\no1a3ufOOEfbvGeC+e3ZQKlm8+sqF9oPz4+B6xPCrIIvrwdQ1nrr/AMv5Crbj0d+ZQn+f9MjO3g7+\n5X/3GN9/6yzrlTqZeIR9Az3sGegkbhjkLYtTy6vk6w0y0Qj5hoUsSTRcj9GOKMdHBvnSzjH+n7ff\nYtWqYzmhgKAvAjbqddasGtloJJzIEXBqfYWCZxHXdKbKa3hBgBv4vL52mYcHR6m6NqvNGoEIO6c2\nX6vLDJUGeiJpuk3BKxtnmaqGUYQEHEyPcjR7xUtnNDbErDW/ZaAzrsboMG6sO7WNW8dnhXa3CeOX\nhIVqGRefZatC0/OI6RrlRpNzGxtAy7vC8ZCRcQQ0G16YogkkqraNrqgIFcZyWVRJYqlUoVhvUgwa\n+H6AHwSt9s+AhuPy9IlzuI6HCARRXaeOQyCHhj1ber5vQB6mqSEh8bc/eJs79g/xxJcPcP+9u/jr\nv32NyekVmo7H3XeOIssS2WyMJ5489KnrnPH8gMtzG9Qth/7eNLnsx5fpliSJvo4Pjpwy8SjfeuBo\nuAhoScTPFUqsVGr0phJ0JuIkWwKUDddlpRruf2B8lP29XS2tKJ9Ss0FM17EbYTrO8hzswCcTibRn\nKwxFxbV9LjXzbTHJmmsjyzBXLZMzY1yqSbhCEBAGkT2RJDFVxwk8LtXWWLA2uFCdR1fCVJsA3i1d\nYiTWTc4I6zM5I8ux7FHOVs5T9+t0GR0cSu/frl98UtiOMLaxiYVqmZ/NhfLkQ6k0C5UKk+trkWHu\nvwAAIABJREFUOA2vNRkcOtmJlgCgrkh4TsszW0DD8UCHtxeWSegmK5UaluNi6ipxUydftbBsByuA\nqKGRrzg07bCtVgRQbdrEVC20HG15tUgBIKRWxjvE5uNelsLBvGTCZHygg/fOLQKwsVHl7PQKybhJ\nJhXl2RcmeeRLe9FbnhCfJjSbLj967j1K5XDS/q13L3PHoWEO7ftg98OrIYTg5IVFzsyu4gcB4/0d\nHNszFAo83gJkOdT8+oeTk5StsEVVUxR293bw3vIaQggimsYdA3187fA+oi259IwZwVBUNEUhqmn4\ngUm+aYXGWJLAk3zObKyxJ9eJIssczvXy7PL5ljZt2Fab0HWqrk1PPEtXJI7lOXRGYsRVg5wZo+DU\n+ZvLr2J5NsvNPOt2kdF4F5mW94UQggVrvU0YEA7tDUY/XJty1V1Gk6OYyhWSLTsLmEoaQ9n22QA+\nX2212/j4uFDYamIV0zSqjo0sQq8JPxCtkYdwGELTFHwnwPdD28+YriFJEr4fsFAscXZlDU1WiBs6\n2XgkHKoLBJqiYLseVst3GmjXKhq+iyZLqLqCbfsgh6QhpLC/VsigeCBLYQoolYhwz6FRdo12ocgy\nz750luWVEmPDnfyPf/wgy6slXvj5FD/92SSPPrSvXdz+tGDy/HKbLDZx8r05do51Eb1Fe9dT08u8\nce6KiuiZSys4rs9Dd+y45fN4bWa+TRYQSoDMFcp86+7DzBXLRDSVkVxmi1eKpig8MDLCmlWjYq8T\n1TSqnkJfNImihPavNcdhtV5jIJniC33DvF1YYK5WbLfkBghMRSWmGsRUA0mCgICq16Baa5B3ykyk\nOjAUFUPWEAIW6gXSWoyyW2XN3qAZVJlvLHFXdh/d5odPPQXC51L15wgCJlKPYSopSs4805XnSRtD\njCe+9KFf83OLzwhhbMeTvwSo78vBp0yTiKohEMhSSBqarGBqKumISc6MEI/oxE29tcIM5R9USWFm\no4jlezjCp+n7mC1Z86LV5HKxxEKpgi9B0Jqz2Fy8+D44IqDph2QhZAgUEAoIRUIoErIqYRgqqWSE\nf/5PfoOJsW4kSaK7I0EkopPLxbnryAi6rjAy1MGDX5igM5dAUT59H6N84Vo3uSAQlMrWdY6+Ps7N\nrV2zb3ppA9fzr3P09bFSqV6zr2w1UWSZ/X3djHfmrmustbezi//5nnv55t4DxAwNVZFxhEcuEmEg\nkSShG8R1g69P7OdseY24pmMoGpqs4AcCXwQMxFMoksyuZBeGorQ8UiS6zAR+4LNkhZ17aS1ORAlT\nVOt2ken6HLIESS1KyanxwtpbOIF7y+95E7KksDP5GwjhM1V+hpXGaaYrzxNRMwzHbq9T4mcN0kf4\n+6vAdoTxS8C+ji5Ori23c8yBEMR1nSgqfmDh+JBUNHKRKBPZThzPQ5cV1isWJxeXwg6qQKbU3BQN\nDHWDGp5HvlIHP6xLCARCCusUQga5NVOxKTQoWrMVQmwO5YVkFgThdlcuwc7+Dr756B3sHgvtUGfm\nNnjx9QvsHOsiGTeZmllF11XuOjTMyFAHI0OfzpGcXDbOwtJW7SRZlkinbl2k4HpulR9sYHkt0hFz\nS4QBYGoq5k18OgIhSBomDj67OztpiLCOUbSbRDWdfR1dHOsbpDsaZ6ZSoDMSx1Q18k0rnBlRVQ52\n9NFhxBhLZPj7uXewPAddVtAVlemah+WFBXVZkhmL9XPJWmDV3kCIACdwWGkW6DVzuIHHorXGaLz/\nw715IKJmmEg9zpnSP7BQfxNF0tmVfBRV3nbp20RM1zk2/OENlP7zbTiXm2GbMG4DGp5LzbXJGlEU\nWSYbifI7E/t4fWmBYrOB5bjc0dXHiaVFFEXGkCU0VeGbBw9gOx6L1SprlRr5Rp1cLErddqjZDnYQ\noIpwEC8QImyR9UIyEX7Q7oASLe/tQICy6XUjrvxzRaU2nABXZJnuTJw/ffI49x4cId4S9iuU6rz4\n2nk6cwkevX9vOC2uKrx3bpFUIsLE+Mfzmrid2Lurl9m5DcqVK2mpQ/sGbzkdBYSy5ee2GtuM9mav\nqWGU6g3em1+hbjsM5dLs7utqd4zdPTrIYqmC518xHTo2NnhNVLFUrXJhY4OKbTNVWGe2XMJQQr2o\n4UyanliclXqNQAjWrBr7Ors51NWD43ssWxXKTpO4atAViXGuvEbVl5irFZirFfCFj6mqYW2qhb5I\nhopXb283gyZ90SSubzDfWKHmWjR9m6QaJaZGkKWPnnK0gyvRniDAE01UtgljE3XH4fXZz5+B0jZu\nAS8tzXByY4lACGKazpcHdzGcyNAXT/LUrr0A/GT6As+XZ4hoGn2tlaaExI8unmdvtouoqrJSqVFs\nNMNIROjUbKftVSFJEp7nt02RgqBFFuELhZDZIiy4Ze6iNbGtyTIRQyMdj/DE8b08dNdOVEWmXGug\nqQqZVJR7j44zNtRBrWETMTXuuWOUTCrK+Minc1jr/MwqJ88sUG/Y9HQmGRvpIF+s4wOKLlOt28yt\nFFhar5CIGuwb7yERM6/7Wod39ON4PpObRe++HPcdGN1yTKFm8XdvnG5Zp8L0aoGVUo2H9ofifN3J\nOL9/9yHOLq/h+gHjnVn60mEheaFc5uezlzm9uspavU5fMsG76ytsNCw6Y1FUWWG5VkWWJYaTaeqe\nw2K9gpB1JFlQsW2eW7pAw3MpNC0KWJwvu5iqymj8inPeqeIy93QOcaJwqR0hdZoJ/lH/cVaaZZzA\no+qVma0tc9HOU3Vr4UfFhwvVOe7pOMBA9KPd782aRVTNMRg7xnTlOabKz7RrGtv4bGGbMD5BTJXW\neXt9sb1ddx1+cPksf7rnGLpyZYXWl0hSa/XXXz341HA96q6DoUSQW0NdFbuJ5wXhQ16WEEEoZe63\n/AhUOaxPvD+p2fa7kK7UMTbXtJIsETU0hjsz7OjLcdeeYR6+MySLIBD8+NVQKPArX9zHxHg3+XKd\nH/x8ku5sgkeP72b3jmsVTD8NWFgu8vIbF9vbS6tlpmbWiCUMJElibqXIt39yks6OBEbLS+PC3DpP\nPXSwHVVdDVmWuGfvMMf2hBPR1+sEOzW33CaLTZxbWuPO8X6SkZCIUhGTe8a2yrtXbZv/evIUK7Ua\n04UCuqKwYdUpuBZChGSQMk0CIXhtYZ7dXR1UfZuEbjCYTDFdLvDvT79G2jQYjmdQJYWNZp2q16Qv\nkqD3Kj0zIQS90TTfSN7FbC1PRNHYkehCV1Q6zJC8zlfnOV2axg4c0nqSumfhCR9T0ZlIDKN8hAgj\nED7z9deJqJl2Gmoi9ThT5R+xZJ1kLPHAh37Nzy0+I0XvbcL4BDFTyV+zz/F9FuolxpK59r49HZ3s\nzOZCJVPCWsJgMsViuUpUCzuiOuJRZvIF6k0nLFq3pM1NVcXzA1QFFBG66Nm+F7bMXo1W++zVFbLN\nQ0xV4V/84SM8cGAcXVO2PAhlWeKLR8Z55tWzPP3yGe49OMrzJy6gKDL3HBj+BK/WJwPbdnnz1Bzz\nywXml8IuoUyrTuH5AdNz6+wY7SIWM2g0HdYL4ep5sC9cgTdtl8mZFe7eP0zT8Thxfp5ju6+0zlpN\nh3cuLnJszzCqci1hVBvONfsEoSvfJmFcDz85f5G3l5bxRUDeCof34oZO0/PRZJmG61F1Q2VjWZY4\ntbFKTFfpTyaZr5VwA58Vq0rS1BlMphmKpxiIp1i0Ssjve7arskKnGcdQVHLG9VtZR2O9aK1FjS6r\n6HqSmBphPN5PcJWH94eBLCnsSj6KIuntmkVY03gCXYl9pNf8XGJTBPQzgG3C+AQRVa/vvRBVt+bN\nFVnmn955N5qicLlUpOLYrDcsMpFwRVluNrlcKlH3Xfywmo0sywghiEeMUFIiEMRVncViBSGzNeUE\nbYOLQAmL35u5qZih8eePHePLR2/sktbbkeSx43v4/sun+eErk8iSxO8+cJhUPHLDn/lV4blfTLG8\nXkYIQbnaoFxpoCgyybiJ42zOuYSwW9PqTXtrx0/NCtVoVwoVzsyuUKxaPHbXblzP53uvTVJvOEwM\ndtGRuvYhN5BLMZcvbdmnKwpLlSrvLq2QjkY42N/TnrGAkPxPrSxDq0tOlUPNKccLp7F9EeAFPs0g\nLHRnIiaKLlP3bNYbdVKmyXqjHn5WbJtY08JyHQ529NJjJklENJp++B4lSeL+nnEM5YO/6pqs8pW+\nL/A3cz+h6TtEVZOMlkACOsyb+33fCIZyrZptRP3or7eNXy22CeMTxIFsL6cLq7j+lRRFfzxFT/Ta\nL42hqPzJ4aP8H6//Ak8IeuIGCd1gpVZjvVyn4tio6qZTnocSyMiKjG4o6LJCtxlltVwjauoEQtAU\nHvihK9uWWkVLslyRJDLxKE/csRtxC015+lXCfZIk3fKw2icBq+Hwzul51jYqJOIRDu8boOM6U9ql\nisXyepmNUp3ltTK1uk211sQ0NJI7ejANDdPQ2KjWubxeQlfDB3MsupXAB7rDB9hIT5YvHd7Bz05e\n5O9//h6uH2A7Ho/fvfu6ZAFwYLCHpWKF2bZniYJQ4ZWZufYxUyvrfOPoASIt0rBcl5iuI0tht1va\nNMk3GgRCcN/AUFu+XBYSUUMnG43iE1B0LBzfp+G5BAhiuo6uyLi+jyYr5Jt1nhrbz/HuYebqRWqu\nzVA8Q0K7caRzNfoiHdzXeYjzlcvtfSPxfvq2xQVvP7YjjF8/ZM0o3xg/yIn1BSqOzWA8xdHOG08W\nz1fKmKrGYPJK8S+qaUQNDSSwfR8/EAQIBAGBE7BQrCBLsKrVEJ4gpRkMd2aYXS3SDNwtdqpSKx0l\nSRA1de7fO0rE0MjeJFLYrFnEIgZ37hnklVOXePrlM3zli/uImrfXjrNu2fzgudPU6mEr6nq+xuWF\nPL/7lTtIJlp+1hULQ1dZXi9TrFjMLRUBgWGoBIFOvlRHkiSGBjLUPJcLc+sIIWgAqqZsIZ8dQ53s\nGOykXG8yNR8WpncNdDK1sA7AE3fvoS+XvM6ZhlAVmSeP7GajWseyXXwCnn5vassxlabN2ZU17hgK\n21Jjuk4uGmNXZwfzpTJIEjsiEfb3dPNbe/cwlErxH069zTOzF8JoUpJQkemNJpGV8HcmdJ2kYSBL\nEuPpHKok82D/GPf2jAAwHP9oGk93ZfcxHh+kYJdJ6wk6jO1o4JeB7ZTUryk6I3EeH9p9S8fa3rWS\n3Zoss1ILaxniqkgBOVzphy564W0LJIGsyTi+TzSi0XSupFokCVRJRkgCQ1LZ2dNBZyqOqsgc23lj\nf+0gEDz7xnkUReYrX9hLKh4hGTN55tWzvPTONI8d33PL1+L9EELguB6aql4jVFhvOLz0+gXOXVxh\n5vI66WQ0VOathhakTdfj4fsmOHF6jqW1MosrJbLpGHNLBWzHIxUzQYJIRKevO83ISAfRqE5s3WDf\nzl4qtSaqKpOKRzi0q5++ziQzKwXmN8r8u++9wmqpSk82iR8ETC2s052O05mO8+70Ir3ZxE0jrI5E\nDBJwdvnaYT8ISWMTsiTxwNgIz0xdINXSlIrpOl/fv490JCTzpyb2slSvMpkPX0+VZb7QNUwyqlP3\nHN7ZWMIXASnDpDMSQ5FkjnR++DmJ6yGrJ8nqNybJbdwGbBPGNm6G0XQoCeEHV4qKMV0nY5iUApuY\nrtF0PdwgfJAHtKIN3yMIZFw/YLVWQw0kkoZJMm5St2wCP0xBqZKMLEvct2OYRw9O0JGIsrOv4wOL\nsbIs8fBdO9FUpV2z6O1I8sS9e4l9iBmG92NhpcSr78xQrjWJRXTuOjDMjuErqY6fv3mRpdUSfhAg\nBFxeLCBJkIiH57qyXuavv/sm/T1p5paKBEKwslHB9QM2ijUq1QaZVIzOXILFjTJvn53HCwLWijV2\nDnXSkbmSUhJCsF6tc3Y+fBjPLOcpW00atoflONiuRzoe4cFDY7z47gzPvHmOx+7a/YGksWlb2p9O\nIm1O2V9lZTqQ3tpCuiOX4x8djTNTKKArKuO57JZOuo5ojP/l+AOcWFlkrlJiOJXmYGcPsiRxOr9K\nfzzFfL2MKktkjAhf7B0lY9w4cmz6Lm8VZliw8sRUkyOZEfqj20qz2/hw2CaMXyFius4TO3bys9lL\n1BwHQ1U4PjDEYDzFq3Nz1B0H1/dpOC75egMhh5LWnghC6XJJwhPhDIbteciyRCYZxW54yJJEVyJG\nVzbBw4d28uihXTc/oRY60tfWC7pzH92Ks9F0efaVc+3htXrD4cU3LpBNRcmmYziux/xSgeWNCsWK\nRanawGo4aKrcJgxVU1gr1EjEjXYhu1i2qDZsfCHwhMAVPmulKtlUjETcDFViV4qsF2t0ZeIUaw2E\ngK5cnNfOXakxbDrkTa/kcX2PdCLC1NI6Xz2+ly8d3sErk7NULZts8vpT4vm6xTOTF3hsb+iS+MUd\nI/x48gIX1/Ps7OzgjqE+xjuvfTgnDINDvb34QcAby4tM5ddRZYWDXd0c7OpBUxSO9w9xvH9rRHhn\n9wB3doepTj8Irist8n78ePldVhthcb7sWKw0ivzmwJ10mduzEJ8KbEcY27gVjGdyjKazVG2bqKah\nKQoDidB9rTMWY6ZQZHJ1jbRpYrs+tuvhtiISWZKI6zqBL9AkmUw0Qrlhk81E+cfHj1JqNFFlmft2\njvxK3+PcUmHLpDOE34+ZhTzZdAxZlpldLlBo6TwZUY1ixUKWtXAKvStJNGqwUay3V/lCCErVBrIi\nhVLsskS96aJpAXcO5UACTVUY7c+xXqqzVlohENDTmeRnJ6dDx8KWBlbc1ClZDRqeSyJqUGnaNDyP\nH7x5jj9//B6GuzMYHyDlIUsStufxnXcneerQXnpSCaKGxkRPJ797eD9DuQ+uA7w0N8vJtZX29nOz\nMwRCcLi796bX9kZkEYiANzYuMVlepOI2WG0WGYplUVpy5IEQnC0vbhPGpwDSdlvtNj4MZEkiZZrU\nXYeLpQJRVeNbhw8zWyziC8F/fvskM4USjuczXyxRtcN8eNIwMRSFSsPGkQOihk5E1xFCsFiqYKgq\nfakkMeNKS2etafPO3DL37hi6pZXpJwH1Br7amw/sesNGURWEgFrDxnE9jJhGNhVn/56+dkvxjuFO\nohGdeESnVA27igxNRVUVctkYXhCwWqoxubCGBGSTUQY70+jR8P1rmoIih17cVsMm2Uq59XekmN0o\nYnse5WITLxBEDY3vnTiDqkn8wf13fCBhZKIRnjq0l++8O8l/efNdABKmwbeO7W37XtwIXhBweuPa\nuseptZVbIowb4e3CZd7cmKHg1Ki6DdbtKoEQjCeupAGd4Ma2t9v4JWObMLbxYTCVX+fHly62J7i7\nY3G+tmsfpqpyfHiIS4UShqrQnYwjVaVWKkJCiPDhlItEiEZ17h8bYbVUQ5Fl3MBnZi3Pj3yfxw9O\nYLse33l7kobrsrevi1z81oX4Pg6G+rJETR2reWXITVOVdg3DcXwGetKsbFRoOi6SJJFMRjBiWviv\nphKJavjA0mqJ/RN9NJoOluviC0EsolNr2mxULYQMq4UqmUSUjXKdiKHT05W8ZrAxETXZPdjF9FIe\nRZYY7c2yUqvhBwFSy8fCciSefusck8vrDHamOTjUy91jA6Rj19YKMtEI940N85OzFwB4cOfoFpOk\n6UIBCYkduSyGeuVrFwixpYa1Cfd9+9zAZ6ZcwAl8xpJZYtoH15Peyc9xpryAJ3wEUHDqeIHPaLyj\nrSk1Fv/0aoFt49OJbcL4FMD1fZ67PNMmC4DVeo23Vha5b2CYR3buYGo9z9uLS8QNA01WcFyPWtNB\nRmIom+ZAbzeu53Npo8hQOsVoZ5b3FlYwDZW5fIm/ffM9HM/H8X1+8/CeXxpZQEgOTz64jxOn51jL\nV0kno9y5f7Atx5FLx0CSkFWZjqtqJb1dKYYHcxi6ypuTrZqDBMvVKhFDp38gw8JaGHE5roesynRm\n48iShOU4pPQI5WaTziCxpQANkIqZPHBojHv2DvHyuVmePzdNw3HxEAi/1cgsJEqNJsvFCtWmg6Yo\nLBbK/MG9h6+JOFarNV68MNPefnZqmqcO7cX2fb579ixOqyPu5VmVp/btpTse1ol0RWE0nWGmtFVZ\nd1f2ijJA2W7yt9OnqLphZKlKMk+O7GEseeOi9YKVxxP+5iUjo8eoeWFUZioaB9JDjCc+HmG4gYMg\nQJdvbc5jGx+A7QhjG7eKfMPC9q+kB9atOnPlEq8uzPH3Z88QU3WykQhHh3sZSKZIGSavX55ndqPI\ncDpDJhrOJ0wtb9CbjPPYgV30JBMkTYNfXLxMw/dYr9ZRZJnfPhLm2H/ZSCUiPHz8+tPlsixx14Eh\nJmeWadphwT6XidGRiVG3HKYuX0nZOK7HpaUCMVNn52AnhqFxfn6N3lyauu1iaKGJVM12MCM69aZL\nrWlTrjXpb1mrSpLEsT1DSJLEd14/wwtnZijUG3iEPhJS6w+EZK4oMoEIWCiWaax71D2Xh/aMs7ev\nC4C1ao3vvjuJrqr83p0H8QPBd96d5DvvTiJptMkCwuaEl2cv8/X9+9r7HhndwU9mLjJbDqVNduc6\ntxS6X1293CYLCJsenl+4yOieu27odJjQTbjKP0qXFXYmevja0N10GAnU9+uHfAj4wmOq8gZr9hxC\nCDJ6N3uSxzGUT58SwGcF2zWMbdwykoaBIsn4IqBi21wo5Fmr11AkmUv5Im4Q0BOLM5Ht4L2VNcYy\nGaKGjisFXCwXOGh0Yygqo51pYrrO8+dn+OqB3Rwe7OVSvsDT756jIxZjIJ3krdlFulPxtm7QrwJB\nIJicXWF2pYipq+wf62XvWA8HJ/qpWTaqKqMqCrWGzcJGidOXlknHI3SkYpTrzXCew/ORZYmBrhS2\n62EYKjkhWC1UqTU3fR4kOtIxYhEDQ9c4vKMPRZEZ78uRSURZL9d49tQFAiGI6Bq6ptBwwugCKXS2\nU2QZTZEpNBosWVVqjsv5jQ3mi2W+dsdejo0NEdE0uhJxHpoYa6ehnjq0lxfOzzBdKaK9z2BqpbrV\nVCmqafz2xB6aXkiW+vvuzXL9WhOmqmtTcx0S+vVlwu/IDlN2LDZatYusEWdXsodOM9kufH9UXKqd\nYrV5ZRq86KwyVX2Dg+ltMcGPjG3C2MatIqrpHO3p443lBdatOjXHIRDguC5110UCis0m04UCvh9K\nSYykDfZ0d7FQKlNzHfZ0dXH86CEsx+F7753jL3/0M3KxKBeWN0iaJv/0wbt5+vR5fnZ+BkmCxw9O\n/MpI4+VTM5y7vNrevrSc56v37uPhuyd48a2LNB2XWsMhX2/gK1BrOqyVa1QbNulWoTp5lSR5VyaO\nZbt0ZmLIskSh1iBmGvTkkvS0UlyqIjMx1EU6HiEIBC+cmea18/Ms5MsoskwyaqArCo4c5vw1VcbQ\nVSQknMBnvVGn7NgEAorNBqvVGqvVGocH+0iYBr99aO+W95iJRnjq8D7++p2T5K2tLn+56PXTgaZ6\n/a9jzoxSchqsWFVWG1WEEPTFUugfECXcmRtjySrR74Uii7Ik8cWuiY9NFgDr9rXeDQVnGS9wUeXr\n66lt48aIGTp3j394A6X/9zacy82wTRifEtw3MExfPMnfT51hw6qHKZCahRuEeei6Y5PQDFzXa1u+\nxnSNia4ODvX28uBo6NOQi0X56v7d/KvnX+b7p8+RUHX+ze99lbcWlsMHlypxdnWdLzZHyVyneHu7\nYTUdzs9v7QoKAsGp6WW+fPcEv//4UYoVi6dfPcPk0hqnL69gNR2EEBSrDQ6N99ORjtPfeaUdtCsT\n5/iBEU5MLeD4AbvGYLVUZbZQ5FK+QNTUkGSZQBUcGesnbmpMzq9haiqGrmI7HqvlGgGhJrypqQx1\npvGDAEPXiEQ0yhtrbbVfIULZlsnlVd5bXObOkRt/2e8bGebpc1MErSK2Ist8YfjDqf7e0zPEG2vz\nXK4Wwh2ShCwJfrF6iYf6d173Z5JahG+OHGOmto7te4zEO0hqn8z9VqRrSUFGRv4EyOjXEXXb4c3p\nbQOlbXxIjKYzHB8Y5OWlWRatCk3JayU3JVwCLM/G8wSr9RpeEDCQTKLKMuPZrcVPy3UZz2UpWU2W\nylX+3c9fJ6brKLLMl3aN8cjucaL67dWEuh4qVpNKvUnwfil2aHdQqYpMOhnhtcnLzK+VsOxwvyJL\n6IZKNKbzrS/fyexyntVCjWwyypFd/bw7u0zRbrJar3FuaY1KPfTNthwH2/fpSsc5cXGBufUSPZkk\nuqagqwrjPTnOLaxhNz0URSJuGiRjBo7v05tLIiQo2BZbepZaWl012+Gn56axRUBvMsFoNnNNTWE0\nk+GPDh9iamMDCYmJzo62HMj74QcBr63OcbawjixJHMj1cGdXP12ROMPJFE7g4ouArBklrulMlla5\nv3f8Gs/4TRSdOgnVYEeie0tkUXZDB7yUdn2p85uhP7qT85UTW/b1RnZ8LFe+X2tcLRj6Kcc2YXyK\nsGbVeHN1kZFUmouFUBpDyKAgIUsSVc/hcGcvCFipVbE8lz+94yiDqSur7XOr6zx77iLD2QyP7tnJ\nP/uHZzi1uEJ3Ms7XD+/nyf0TN3zA3C7Umw4/fec8y4UqIFgqlOlJJdpzGABDPVcc4hbXy1QbNrbr\n4ftB6wEt43g+8ajBiYvzDHVnuH+km+nlPP/fyyc5fXkFRZaZWy9RtZo0XA9DU/CEQFND4rAcl7Vy\njabrsas/bOnd0Z2jbDXDWY5kBNsP0FSZtXqdfMMiqusU6o33eduGXiMB8Nz0JWYrJSa6O9nb3cVj\nu69d8acjEY4N3jzl8NLSJU5uLLe3f748i0Bwd/cgqizTH9+q7xQIsUW+fRNN3+HHy++y1iwDEFUN\nvtxziLhm8OLaO6zbYUdWzkjzYOcRouqH63Lqj+xERmGpcZFA+HSZwwxGb00/bRs3wDZhbONmCIRg\nupxnrVEjZ0b5zoVJXl+ZR5MVYrqGoSjUXAcFGYFAkWV2dORI6Aa256ErCoNXaRQ1XY9ioJxQAAAg\nAElEQVSXLl5iIJ3ikd3j/HDyAru6Oji9vErJajJfqqDcoKvmduLF92ZaZAEgkUxEWChU6M8k0DWV\nTDJCJKJRbdgIIXj74iJFqxE6C7aiESH7GLrKmblVyk2byYU1lgoVulNx3CCg/v+z92ZBkl33md/v\nnLvmnrVk7d3VezcaaGwESAAECZKiKIkiRdGyRqGRR5rxMl4f7IkYv+hhbD+NHxwxDi8aKWYcmrHG\nGpmWqH1IiOJOYmMDaKBX9F7dtVfumXe/5/jhZmV3sZvY0Y3m5IcACnUy8+bNzMrzv//l+74gZr3V\nRQhBOthE41Rl3hIppFHMaqtD2XWZLBcwDEmaKoQQTJTylAsue6fHOHFtlWvNDv0kwnFM5scrbPR7\nQ+fCm21HNNDw+4TrCf04JkwSHp6fZab0zq/cldacaqzfsv56fY2PTu/iUKXGjzZ/zF+8NH5Lgxzg\nR/WLw2AB4CUh39k4xXQuNwwWAPWwxYuN03xq6tF3fL6zuX3M5va948eNcG/jrgYMIcSvAv8DcB/w\nUa31j978ET89UFrzp5dPstRtseH3+MHqVdpBgIWJJU1inRIkCZY0yJvWYH7eZMPrUXFcclZWRw5v\n8t5wLZMvP3Q/JcfmL06e4+TKOtWcy2889hBtP+T5y0tYUvKfP/3RO/Y6k1SxtHljk+r6IZfW6mit\nmRgv0A19kr7mG69eoOdHLG016fkRrSAEoRGWwEAiBKSDK+qlepM4TVlrdlnabPHo/swVTmmNJFN2\njUgxpEDFGiEFidaQpGz1+lxrtfm1TzzMSrPDRrvHRw/t5sS1Vb5z4QrtIKAbh4RJghUYrPd6dKNo\nGCl2XAjK7Jz6UUQ3DLnabFHve+8qYAC3zRa2SX1PTC0SpgmnW+sordlXnuBn5m7fv1j2G7esNaM+\nXtrix68Xrnu3V9cd4c7igxirFUL8X8AXgA2t9QO3uV0A/yvwecAD/r7W+uU3O+bdzjBOAv8B8Lt3\n+TzuOC53Gix1W7xeX+P1xhrtMEBpjUGClZokSpFoyEnJZD6PgUBp6MY32NI5y2K+tLNMUStmqqxj\neRdDCh6an+UXHziMBH73B5LNXp/zG1scnJr8wF9jq+/zx8+/zrdOX8QxTQ5OT7Bc7xAnKa5t4Ucx\nF1e3ME0DDSxttojihJlqEde1CIIYA0E55+LaFpNjBUzbIIhjtM4sZ7t+yJnlDSyZBRWFZqJSwOoH\nCJFxFmKh0Crb7JWEhu/xO996nlLOoZJ3uXjxEps9j/VOF00mZWKbJv0o4sJmnd6gj3Kz3S2ANARy\nUN4L4oR+FL3rYCGF4FB1kjPNzR3rR8YyrochJZ+ZP8gnZ/ej0VhvMiFVNF06sb9jzZYmedPAT4Md\n665x+7HcEX4q8PvA/w78659w+y8ABwf/fgz4ncHPn4i7GjC01meAn0g+ulex1K8z6ZSG1qxKK860\nV9lXnCRnZl/QzaBPI/S42KmTDK4iBZBqhSbBkiaWLZhyi5Qch/snp2gHIf7A86Lqunxu34Gf2I/4\nmUP7mSmXODJdG97nv3j6o5xcXWff5FvLWqdKcW5ti9V2l/FCjqOzU2+qp6S15vxanWv1FiXX4cDM\nBP/Ln3+XlUYHL4pZaXW5stVkzHWxTZNy0aXdD2gPylDVgjvsWfSCGNc2h+f90P5Z5iYqmJbBSxey\nsoyUgiRNidKEjhdQyjnDvgUCjuyeYs/UGKutDmfWtkhVxnGxDIkQgmuNNtOVIteabeqeRzcIM7qe\nzF67Y5r0o5gkzi79hMjsbrchBGBolFaYpqQV++x2qpTcd78Bf3phPxp4o7WFRHB0fIqnZndOVL2d\n/tPDY3tZ81vZ1NcAD1YXyZsGLzZO7bjv/ZW97/p8R3gf8QFkGFrr7woh9rzJXb4E/GuttQaeF0JU\nhRCzWuvVn/SAu51hvG0IIf4h8A8Bdu/+yQZAdxtBGvM3qycpmi5fXHiEFa/FV5de5kxnhd35Cf6j\nfU9yoDzFTL5IK/RJtcIQWVN7u/ZuSEHZspnLlTEwMISgZDuMuTm+uP8I426ekm2/aaAVQvDA7PQt\na8fmZt7W6/ir186x1LjhVX1qZZ2/89gx7J/AFfjmqYucXblxdfy1E+e4Vm/hhTFRkmIaEi+MWW53\nGCvm6a1FJElKkqjBeK/AkII0hUSljBVytPsBjmWya2qMhckKHzu8m1PX1vHCiChJMUxJyXIJk5R2\ns4NpSPIFh3zBphOFGI7k0QMLbPY9emFIMGDT25ZBrBQNz2Ol2yUZeHBoNJaWKBjqVOnBW6wlQ+90\nCQgDlIBIpkQ6pWg4bEV9/vtnv8Y/+dRnGMu98xFWxzD5hcXD/OyugzSCPi9sXeVfnX+Rmlvkyak9\n1HJvL3uZz4/zxYXHONtZJlYp+4pT7B3oRjmGxcXeMgD7CnPsLc694/Mc4QPAuwsYk0KIm8v4v6e1\n/r138Ph54ObG2PXB2t0LGEKIbwC326V+W2v9Z2/3OIM34vcAHnvssQ/tTIFrWPzc3IP89fVX+ZcX\nvsOK12E9aFMyXSacIs+unmbSLbJYHGNveYLTzQ1SpXEMg0Rkk0CmNJgtlHl8ehdBktCLIh6bmef+\niSnGcx+8BtRyq7MjWAC0vIAzq5s8tOtWBdVW398RLAA6XkgviPDCGEQ2LmtIgUbiRTFSCKI0IY4z\nsb+Ca1POuXRFiGkYmfKuY/Op+/fxuUcPUSnmOLu8wWOHFjh1dY0kVVmWoRShSuj4mXRGw/NoBj5j\nhRxff/0C1YJLybaJVYpjmRQcm1Qrur5H0wtJ1LbekkCTif5pNOnNL0ZkpSxuCh4Mso1Ua6QQg+dQ\nvLFV51+8fJx//PGn3/X7n6iUP116HT/JssleHLLitfnNg48Ps9a3wpRbua10+Z7CLHsK714Fd4QP\nAO9e3nxLa/3Y+3w2b4oPPGBorT/7QT/Hhw22lMQ64fsbb9COfcpWjoequ5Aik+m+1N3i0Ynd/GdH\nP0onCnhla4UoTZCDPsWxsRlmCllvwjYMfnb3AZ6ae2dkr/eCluffft0Pbru+vVnfjKlKkUvrWXMb\nMnKe1hrXNklShSIjwFmmQRAnbHT7HJmrYRsGUkimKkWeum+RJw7vphdE/NFzJ7LgQyZWWHRs8g2b\nXhjS6Pu0vIB+nPEUkIJeO6ZWzGdWtbbBkckplMqc9pq+z1K3QzTIOBQg0BhGpv6rJBgGKAXpYHwW\nMYgXArTQoAVCZNmgZRps9vuUdUqsFH99/g3uq03yhUPvbtT0QmdrGCy2EaYJb7Q3eXji/bFhHWEE\nYBm4ed57YbD2E3HPlKTuFWit+du1U7Qib9gf9ZKQVb/JrkI2+78t6VC0HL6w5wjdxGMz6FOwbL64\n+37GrQKnB83Po+NTPD5wV7tTmKuWd4yPbmO+enuf56mBV/i2SZJSCi+KOLY4w/Hzy0RJimVISjk3\n02kizXoCWmMZEteycG0LLeDvPvMwj+y78XqDOOEPfvAKry2tYpsGs9UypbyLFIK/8/GH+OqLJ7M+\niMgaw0rr4VV/MlD/jZOUUs7lZ4/u5/kr1/iDF17FV1nmsz2YpET22ZmGxDCy6CANBgrCg9FesiCh\nAbQe+okkKhMs7EURGnAsgz84dYKi4/CpxXfeI4h1etv17WxohJ8uCO6a+OCfA/+NEOLfkjW722/W\nv4C7P1b7ZeB/A2rAXwkhXtVa/9zdPKf3ilbscam7yeXeFtO5Mo5hshH0ON9dZyY3Tt6wWSxm0tVB\nEvO9tYvMFcvsKmWubG90Nnhm9gB/78gjd5xgt42xfI6P7tvFi5euDYPGwamJ29qMQjbO+8yRvfz5\ny2fY6PS43uxQLbgcXZjm6Qf3cG29xb5axjw/dW0dEUZ4YYQUAscyqRZzTJTyHN41xez4zjLKX716\nljMrG/hRjB/FdPyQo/NT5G2bWqXAf/uLT/OvvnMcbWbM6412j1RrHMsYTFJpqvkc3TDk2XMXWOl0\niVFIQ97iOSEAIbOAkAWdrIymMsWQYZ9pm5irshCCUhrLzEpajmlQzblEacqzl87z+Ox85v4njdty\nJm6HA6VJfrB2eYfcvRSCA+Xamzzq7WF7/Pi9qNWO8AHggxmr/UPgU2S9juvAPwEsAK31Pwf+mmyk\n9gLZWO0/eKtj3u0pqa8CX72b5/BBYKnfoGS5HCxPEaUJ5zsbbARdLnbX2Vuc5A8vP8/hyixTToWT\nzVUMKTlcmcIQkjBN+KNLL7M2e4CfX7jvrr2Gx/cscGh6kvV2j2rBZeo246Kr7S5LzRYlxyFSCZZj\nkEoNJvg6oReGlHMuRxan+fiBRfZOjtPyfH7n689x6vo6idIUXZu8Y2VZipQ7zInW2z3W2l2Krk3H\ny8phWms2On0OzuSYLOWxTZP/9DMf5Z9/8wWuNVvsrY2z2e2z0mojpWS8kCPSKa+trWFbBonS9KKI\nRKVZ41plWYYApCmQhsy4DyITIEx0Vq7Sg+cGsvKUzAKGFFB0bIQpMgdAx6SV+OgEVDPlv/zbP6Wa\ny1G2HZ6Z38dnd+9/y6nAku3y+V1H+e7aRdqRT9l2eXp6H1XnnTfSV/wNrvZXAAiVTyNqkmrFXG6a\nx8YewjHuvETMCLfBBzMl9etvcbsG/ut3csxRSep9xphd4Jd2PczV/haGkORMm4fGd6EUJDeVSk61\nlvEKMXOFChc7W5xrb7CnOM4bnU3m8mUenbizZajboZJzqeR2yka8en2VE8urXNis40Uxu6oVpBC8\nsbbF/to4jm1iW0ZmE9vuUM65CCEQQjBWzDFWzPFPf+PzfP/sZf7kxZMEccpUpcBUpcjj+xdwbxrd\n9eOYrV6fLc+n7vnYhqRg2yit+cThPcOJrYJr8xsff5g/e+UMcZKyOFllq1dlopgnTlO+c/kqBcdi\ns+cRxpmEOBJQ2Xgu6KynIiBMskCSikxSxBYGsVZEA4JkohTCyO6rpUZL8EWMI02U1vSSkDRRzBVL\nrAc9VoMuog0Fy+LE1hq2IXlm4a0Z0vvKE+wtjROkCa5hvqvR83PdK7w8GKPdDLeoRw1252cpWwVW\n/DVe0pqna3eOxDnCvY9RwPgA8Pm5hznTWeZKbwvHMDlUmuEvr7+O/LHvfDPuDZuYFzpbvN5cxZYG\n/8mhJ5jK3XmTo7fC6ytrfO/iFaIk4Uq9hUbjD+TXz65tst7t3SJVkqSKRClmqzdej5SCB/fMcb3b\n4czKJkmqmKgWEIbghcvX2Dc5Tq1U4OzaJieW12gFmQcGCVi2ya8/+TD3zU/tOLeZSolf++gxnj1z\nnvVOnycPL/LUvt38Py+doJzPOBpRmrLleUQ6RQqBNLbHnjIXu1QrMDWpkTWzU6nRSuOaBtnslEYK\nhRYaJXUWdGTGPt9uiAcqxjEN/DQmVim+jkliRZDGdOOI3z35Ip+Y3zu0SX0zCCHIme9OLlxpxan2\nheHvnTiTRd8MG5StjNy5GmwQqRh7JEl+1zEyUPr3GEIIjlYWOFrJsoRYJTt4FtswhcEXdj3AuF1g\nM+jhGha7C2MsFMdud9i7jtNrGyRKcaXZpu572IbBRqfHZLGAaUj6UcRmr0/OyljcfpLw8vIKE8Uc\n/9+rJ/m5o4c4WMv6N1879QZ1z2eqWsSPY75+9jyvrawyWynz0tXrfGTXPC9evkaMGmzGAmFCPmez\nLYqqtOZqo4Ufxewaq/DtC5dZ7/VBwvnNOkvNNk3fpxOEtIOAlu8TqhQFWIZBzjap5lz6UUwQxSQI\nfJKsHGUYIDSWZWBbJnPVMiu9LmGYkAiF2t7vlUYbOhvzHRSvUiReEtNVITEpAoiUIEgTlrpNrnSa\n7Kvc6Af5SXxLYLjd2jtBqlPC9Mb02naAilS8Y03yzjOXEd5njNRqR7gZljQ5VJ7hTHtlx/oD1XmC\nNOZyr87DEws8MDbDy/Xr/NnV1/nS4rE3Nci5G4jTlNMbG3SDCC+O6UaZouyEzlMpuKRZwZ+cYzJT\nKRIphZCalU6PzSvXePX6Kr/yyAN8bHGBzV5/eNyVVpckTWn0fWYrZbSGP3jpVdY6XXpRBBLylslY\nLkcpZ7PZ6+PHMV89cZp632Ot0+Vqo4UXx0wVi+ydGCNvW4RJZtUqpaAXRgQqHRLxYlJKhoMQgvFC\nnqiQ0uh7BEm2wadotAJFCgksjJUp5iyeX/eQWqL1gEc9kCNBgxpcJiqt8NOYSKVomQ3Ze2mmR7Xq\nd/jtF77GP3v6l5jOF+nFIV+58jJHq7N8rLYHgK2gx58uneCJ2l4eGHt3xDpLWkw4VephxqepWlXW\n0nWK5g0ez+78PKYcbQF3G3nX5rHD79xA6V98AOfyVhj9tdwhfGLqIDnD4kJ3A0saHKsucLgyw7+5\ncJxIpXx58RhTuRJTbomvLZ/hG8vn+Pyuo2994DuInG3jRXHGRHcdmp4PCCKdMpHPc2hqkn4Ys2es\nSsG1ud5s88ry6lBAL0gSXlteZbKQ3zG268fbnhfZVFjbD2j6PqaUw/t5cULBTim7LtPlIi9fW6He\n92h6PlebLfwkpuUH5CyTcxubjBfyNDwPDSQoUqmGwntSiqEl7nylzK7xKq+uraIkKLLsIdP1EkhM\nEq04vraacTPI+lBSGMQ6Rd90ha4HtzmmCWhCDcn2zYOfSmtONlb5H3/0LP/0ic9zonGdFa/D2dY6\nkUq4rzLDny6dwBCS+Xz1PX1ej48f47ubL+ElAWN2lYKVY8wqYQjBQn6OByq391gf4U5D35jv/pBj\nFDDuEExp8ERtP0/U9u9Yf2Z2PznDGvYsDlZq2VWv88Ezut8pZssl5iplNro9yjmXmXKJhucxXSxy\nqDY53CyfPriHs2ub9MJoGCwg2zMNmQkgHpye5I31LQDyg0A0Xc4msbphiGMYVIoFGn0fP46xjKw0\ndP/cNLVSgX/2nR9yvdmmH2U9lJxpEicpnSBE6SA7hmmyOFGl4ftIQ+IIi1RlY6VaQKRSdo1VeXrv\nbk5urZN3TPraQKsUhcKUJoZk2OuIlSJvWXhxlI3UDrgbCIYlqoynoXEtk0Ra9FXEDb8ojRaCME15\nZfM6/90LX2VPaYyy6bClevzfF17kgbFZiqbDL+06xthNfwOpVoPR3rc/aj1ml/nC3KfZDBsYSCad\nWw2eRrj78IKY4+dGjnsjvA0sFm/lNhwof/BKsu8GC9Uyu8YqLAwIfEIIwiRhrlSi6QUUbZv5sTKv\nrKxytdFiudMhVWqYOYzlczhmJs/x8b2LVHIulzYbVPIu5ze2iFVKmCQUbBtpSLY8j8lKAS+MMKXk\nHzz5KOWCy//xgxc4ubZON4xQaabFpTRIAd0woheFLFQqzFULTJWKPCAFq70eBdugEwYkSmEJyVgh\nRyFvcandYMXv0Ip8kOAIg0gpcrZFrVAgZ5kgBf0okztJBg1wAGQ2LbW9DydouirAiyWGzMZuFWog\nQJWN6CYo2onPxc4mQRox6RaYzVc42VyhGXrEOualxkV+dvbYMBP627WTmMLg09NH39GmbwjJjPvh\n/Hsa4SbcGwnGKGCM8Paxe6zKsdlpXl/NjH4E8PG9izy1JxODrPc9/vDV10i1xjQls+Nl2kFIwbap\n5l3mKmUc0+Ch+VlMQ/LE3l08smuWP3n9NOPlPM2+TzPyeWrvblZe6xImSSa86DrZv3mHF5eWObe5\nRT+OCeKYRGUjr1rozIzJzpGXNtWSy+6JCtc6Hbw44kBtnEvNBrHItKuEITg0PUErDPijsydph/7Q\nrMkQAtcyydkmfhoR6RTHNAhJsUyBTEBpkUmEDDKNofS51Nm4rYBYZ5mBNNk5BqNBCUWqUlKtWPU6\nbAZdXMOiYueph12+v34RgJ+ZuZ9vrZ/mcm+TpyYPjjKEn1KMpqRGeF8Qq3ToffBaY4VW5PNEbRHb\nyD66H20ukWjFE1N77sj5fPrAPh6am6Xe7zNVLO7gaZxa39gxCVbJuTy+b4GjtRpJoii6Ng/Nz1K9\n6TGvrqyx2etjSMlkKRv3fOn6Cvtr47SDAC+KKdg2E4U8J5bXOLW2zmq3iykledem5fvEUiFkJqmx\nGfTJmSaXm01aYUjOyjgMnooxbUle2Gg0tmFwvtkg1+/gJRFCCKQErTQKTZAmWEmUvfdGSiNMso1f\nZpIhQkAyoIDrYcBQN+RGBMOsQ+/odGSkv1Sn9JKAVb9NlCbM5Ss8PL7Ab+7/KK80rvPttXM8v3mZ\nq/2sbPfU5EGOjX14VZpHeI8YBYwR3iuWeg3+ZuUsX9yVNcRbkc/fLp/j2eUz/KP7P82lbp0frF/m\ncHUKrfUdu/ocz+cYz2es4+2egGUYO6QstiGFYP/kOAcmJ257rLVu95Y11zQJk2QHu3y120V7eljm\n6scRUkBIkpV7GPhsa4WXJMRa04kjCrbNI3MztDsBSEHBtYaZhJ/EhGmCQGBJSZymWZNaZ5u6lBJl\nKgxTEBETqhSps/WEFOTtv+WZtEhWKrtZtHDHpyMg0imdqE+KYj1IuerlONW+zjMzB3ANk+PNGzyK\no9W7T+QcYYRRwPgQo2rnMaXkz5Ze40u7H2QmV8RLQ7pRxO+ffwlDCA5Xp/jc/JE7XqrQWvP9a1d5\nbX2dRKUsVsa4f7LGa4NyVaoUdT+bUjJ+nLF4E8bzea7+mJR6wbY5NDfBuY3s6lppRTeO2D85RicM\nWeq2CUlRA9VbYNDHyEh0GkXZcTANCUITkuKaJu0wxDUtgiS+4RUusoxCKYWUEkNl2UrOtijlbDaC\nfqauK1KMAUtfo7JR2kGgEjePfA2V5LLzEVJzS59aaBgQAGMtcAyTou3ipRFfWz6JKQ36ysMxTCpW\nnnbs8Terrw97GiP8lOHdy5vfcYwCxocYZdvly7sf5qtLr/JHl48D8LHaIku9Tnb1Cnxu/sjbYg2/\n33hlbZXjKzd4JVdaTVqBj2EJji8vs97rMe7mOVyb5M/OneUjc3N8YnHPLcd5eG6G85tbN2xQgUfm\nZ3l67yIPz8+y0s6Mkbh4ESEE0+UCyEzlVpiSIE7Q+oZS7bbibNl18JOEWKWcb9apujlilVKwLSqu\ngxdFRKQ4jkEnDfEjhVIKQwrG3By1Yp5eGpFqhRIZ58IQAkcYSCnxVTadpbe/6QJsCdqQQ0MmQwqE\nqUgZ1KgGP6RIMbazosE/vdhjqR/QDHukJOwtTQ7LUCdb1/jB5ht8Y/Ukn5s9Nupj/DRiFDBGeD9Q\ntl2Ojc3xg/VLABQsF0PcKON8b+0Sn5zZd8c3kbNbOw2TEpXyjUsXeXB6holinn4Sow2Gtq4vr67y\n0PQMZXenNlXJcfj1Rx7k7MYmvSimVsjTiUO+feUye6pVHlmYY63XzfoEWrPleRRsGy+JSdHY0iRK\nkoxRLQRagG0ajOVy6MCjH0ZYysA2DY7NTGMJg1q+wHSxyHdXLgOZbPtGv0eQJFQcl8/tPcBav8vr\n9fUsaxEKpSHVybCsJASYEhIthhNThmmQswajuyiEVPhoDLJApjVIqZHDqaqBaZPOSIVhoummXcKm\nx8/PHRv2LB6oZqQuUxjDzzlIwx1+3FprIhWPxATvVYwCxgjvB853Nnhu4zIly+Vyt86PNl/m8wtH\n+dV9j/C9tUu8Wr8OcMeDhvFj0usN3x9yBfw4RkpBqrOy1GyxRJym/HD5GrPFEgfGxinYNza2nGVx\neKrG95eu8H++/DqWNJgpFHlp+TqhSijaDs3I59xmps0VqQQtNEXbxosjooHarGuaKKVJhKIThTiW\nyZ7cGGOuy5FajVAlbPkeTywu4MUxrGTGRJ04s4J1LJOq6/KjjWXypsnuUgXTECx7HdB6yLHIagiQ\nyoyIp1V2W6wVtpZUHAfXsmiEXSKVlaaQIHfsCmLw3xRDZn2YzGcDWnGfF7be4FMzN4ib20ED4Fz3\nEmc7F/hU7QkqdhmtNa+1z3DNW+Wz00/vCCQjfPixPTNxL2AUMD7EuNTd4tnlM8zkynxx94N8f/Ui\nYXqGduzRijw+OZOpnt6u2fxuoLVm3ethGwbj7psTB49NTbN6U8Naac14Lo9lGBRsm7rvD9f7ccTZ\n+iZKaM5ubfK9a1f40qH72FXOhAqjNOWPTr/O8ZVlLjWbJCrliu0wXSjQDAOO1aZZ6rYJdMx6v49H\nghCCRKUkA38KKQVSCmzLQApBK/KZKZeQAuqhx7euXUKjKTsOr22tESQxiVZ4SYzWWYYUqpScMtAC\njlQmmS2VONUwacYevSQcyHyAEFnROYUBG1EjpEIbEAiFm7lDYUlJXlp045scCUXGXzEAKTSmmSLl\n9kRVxvhNteZv1l5jV3GMX9n1FI6xU1Nq1p3ijc4lvr35PJ+qPcEV7zrnOpc4UNqDI0cZxj2JUYYx\nwnvFlFviSGWGT8wcwJYGn5k/xEcmd3G8vkTZyiGEGAaN95pdbPl9/uLKGVph5juxq1jhC3vvwzVu\n/ydytDZFqjWvrK4QpSnPLO7ljfoWGpguFGn4Pl4cM5HLcaXdYqZYGhoIJani21cv8/eOPQzA+cYW\nDc/jQrNBL8w2Vy+O2fL7zBZLXO208eKYRhhkhkiuixfHpALKjj1oIgtMQ2abvmmSt20SUpZ7fWzD\noJ8M+hGUcAwDxzCYzOfRaNpxQJDGaAm9JKKfRLxSX6Hk7sExDEw7s90VQKJT0u2+hQZERs4Tg00/\n1YpuHBAbKQZgGxLbgHgwgiuFwpQaQ4IlwTDEzoA/CBwaxXNbp8kZNl/e9eSO975sFXlm6gm+s/E8\nX1/7LgAHSnt4pHr/qL9xj2LU9B7hPaNoOfzM3E69n4qT4zM3rb1fG8Sz184PgwXAtV6b51av8umF\n/T/xMcempjk2NT38/b5aje9evULD9/n47t0sVqpUnRzfvHrpFvfAuucRpymWYdCNIrZ8b7AhK+I0\ns0U1hCQayKP7SYwa+IkUbRsN5EwLUwqiQaax7aCngaJjkZBJfICRTSwJCNKYlV6XuWKZg+MTfGHf\nYX7n9RdpRtnjpBCYUhIkERfbDapO1nMxpEAgiAe+GJnw4Da/4qafA2a3IkUPeG0+afUAACAASURB\nVBlSagwAobAMhZSagukAGXFve8pquGcIzcSgZHe8ef6WgAFQMguM2RX8gc/6/sLuUbC4VzFSqx3h\n3WDFrzPlVHfYZy57W8zkxj/QcUovjlj3eresX+k239Fx9lTH2FMdI0pTLCmHG9ildoPrnc6O+1Zd\nN5MQB/ZUqgRJgiElQZqgBiOvwsgY1wXLGrrdlWyHorUdMEyCJOHQZI21Xo8tr48AJvM59o2Ncaax\nSc6ymMznCXsRfpLSjyNONzZoRj77q+MUchYHJ8Z4ZSMgSRWuaZC3c3TikA2/i2NKSraDmWQSHZGO\nYdDoVnCj+Dy4RBQILGFgDBrbscqERAypkUaKZYCBxJICkMTpTS5+AGgssv2jl/hY0hiO/KY6RQ5m\neV9rn2HFX2fardGOO8PyVMW+ve/6CB9yjALGCO8Evdjnb9aOM+uO85npRzClwbnONZ7bOs1Hxg9x\nrLr3A3tuyzCwpUGk0h3rBfPd1cN/3Lv6qYXdfPXcmeHVuZSCT+zeM7x9pljimcW9vLqxSsGySLUm\nb2Xjr5YtCUWCMjR526Jo2QgheHBqmrlSmfsma5xv1InSlLP1LQwpODA+TjcKhqWo9bBLoBMSkZIK\niSEEF1pbJCLm5cY1WmFARIxlmSQiIVWaom1hmpKe8nFMSSuKiVRCZtYnEFJk47ODBvh2b8IUkpxp\n4lqSWEdILVDp4BJSD1jfg9JV1c4TDMQJ5SDNkEJjSk07aZOKiHE7x7PrL+AasBnWsaWNI206cW9Y\nhuomfb6z8Tzf3nyen5t5ZtT0vgcxKkmN8I5QtHI8NXmUH26d4pvrr7CQr/Fi/Szz+UmOlj9YSQhL\nGjxSm+OF9RuKmQJ4bGonuzhWKc+vLXGxXSdnWjxam6diuzy3tkQj9JjNl3hydpGKvXN0dq5U5jcf\nfJhz9S1SpTk0PsFYbqc/9ZcOHeGbSxdZarcwpcQ0DGKdEKQx99VqTBbyNH2fguFQyxVYrFR5amE3\nu8oVntm9h1YQUHYc/s3ZV/nK+ZN4SYhjmCQyIU2zUlbJssnZFl3t01B96ls9DClxDDMrf6kEP40p\nWTZFy8YwBJtBPwsSRjYaqwYTUVJqckZWMhNCYRkCIcA1TA6UaoQEbIUJvsqyCzVozqMhRRGmMRrN\nYqFGI2qB1ihiElKkSBEyEynU2uNrq39L0XLQWmFJi3F7jPtKB4Y9i+2exoq/Pmp635MYyZuP8C5w\nsJRt0D/YPMWKX2cmN85nph7GuANGSk/NLlJxXM63trCkwYOTs+wqVnbc5+tLb3C+lbGvm6HP5U6D\nWCmKVnZF2woDlvsdfuvIR3b0LPwk5vX6Gpt+n6lcMVN//TEIIfjs3gOc3FzDjxNMQ3K6vo5C8+rG\nyjBjnxov8I+feHpHvd41LWaKFo3A47n1JcZyDlXt0E8iQpVwoDpGKwroxSGdOKAThjDwrrAxSXVE\nxc6xuzjOhc4medvAsGDT7xKlCY5hULIdHNOgHfmDbECg0Ngm5G0Ty5BIBJY0UTJhxilw1Vsb+mco\nFFJkwcYYCE2Facxv7fkkF/tXOdG+TC9JiVOBEuBKAwNJPaqjhE83MbIimNasB+tonfDp6ScxRfZe\nlq0iZat4y/s6wgjvJ0YB40MGteNKQ9/R0ub949PcPz5929t6cciFdn3H2pbfpxtHHKhMsNrv0ksi\n8qbFyfoaD9cyp7hYpfy/51+jEWRjtpfaDc63tvi7hx++pRH+zK49NHyPZuATpglSysze9qYp9eV+\nh0udBvsrt2pTvbyxQicKaIY+QZKQakWsFIFKmHDzXOs3iZUaeFjoARlPYSIJ05hu7AMapKYR9vGS\nkEilKGFgYhCmCaaUQ8lyU0IqEhItMAedh1SnJEQgs95LNw6zHobQCKFxpEneNEEkTNoGGCFP1A6T\nkvCjxim0kWlzbb/kQAcIHRGrLPAIkZW4lvzrnOue5/7Kfe/y0x7hw4J8zubR+9+5497dwChgfIiw\n3bOYz0+yOz/F8/XTfHP9lWFP424iTtWw8byNVGsSpTjVWMdPMq/odujzl1fOcGR8CtcweaO5NQwW\n26gHHhfadY6M1XasVxyX33zgEZa7HTSa3AWLH65c3XGfou3wJxdPsViusLs0xkdq80M1X9swBsEi\nOxcBhGnMpt8jX67iGGYmy2FApDIpkG1SnSUl7dinaNt04gA/ibPNWWiUTukkEULrTIJEJEiZTU4l\nSpEAUZqZZGmd0gph3HGZcosYQhGplEhnU1+OlJgywjVcqk6BXuzTjT3GbYey7RClkl7io3SmXSVI\nEGJQDtMaoSGRAldaXOhdGgWMnwJ4fsQrJ0cGSiO8A/RinxcGPYvtMpQUgh9uneJMZ+kDbXq/HYy5\nOWq5Ipv+jWmqcTePnyRD7oTSGlNKbMPgXHOThyZnd5LWbkI3uv26FGJI6Pv83kNcaNVpBplda9V1\nWfU6WKbIGNj9Dmv9Lr+8734ADlUnhllLqhVeGiNFNmLbTyLylsVYrsx6v0svjkiFpGw5lGyHquPQ\nSj3ypoUOU/w0yqxorRztuI9AYUmDlAREiiLzuxBCZxmQyIKOKSUJiqJp04wVliFxDAulFbFOcI0U\naWR9ijHb5UL3Go24iZf2qVo5WmhcnWUrtjSwDTUISukw2zSEJmfa5I3crW/gCPceRmO1I/wkrPgr\n1JwalrzB3l32rzPtzPC5mY9QcyrDnsXB0gJFM8e0O3a3TncHvrDnCF9feoOVfgdTSj4xt5d1r8sf\nX3ydzaCP0prJXI6tsE9/ECgWS1WeW1265ViLpbf2qz5QneATC3tY7rUBuNRpYBsGk7k8jcAj0Yow\nTdjy9zCZK1BxchydmOL4+jLt0EdKwVyxxGyxxO7iGC9uXMMSkql8ESv0SZTik7P7uG9igq+vnMEO\nBY2oTy8JGSiTI4XClhKFZCJnszVw3MsgEGQ+37BNxjMoWSb1uIlrSHqJIlQR+wpz7CnUiFTAarhC\nO25zsbdESkqsYnKGgeuWKZOQN3IkOqVo5rFFSKxzNOIGECHRWCImTJsUTJNIhdhyNBV1r2M0JTXC\nLfCSPsebL1Gxqjw58RSWtDjfPc/pzkmOlu/nYOnQLY+Zzd3eR+JuoOrk+LWDD+HFEaY0sA2DLb/P\nXy2dZkLkshKKECz1msOm9GyhzJOzu3lh7RpKawwpeGJmN1P5nQ3aE/UVTjayJvF91SkenVxACsGX\nDxzl5NY6K/1uZmykIk63bpTAhBC83ljl0/MH6MQBsU6YKxWRpiZRKb6KqbkFyrbDkWqNkuXgpwlF\ny+Hzuw+zrzLBPzv1TRKdkrNMFCnd2EORqd5mzWqJJbPjCZF9uQfi6MPQYUmNJQXT+TxjjkOiIzaC\nBpZU5E0L04j4jb1PMp+v8T+d/H0aUYNUpxm3QkhcwyRIQwQxmpBpd4zFwhzdpE0n7IDo46cpmhBL\nmOQNi0a4zgv17/H05M+MSHv3PO6NiDEKGHcQebPAR8Ye53jzJZ6r/5CaU+ON7jnmc/PsLx6426f3\ntpG3boxu1sM+hgn90MeSJnnDYaFYoRl5w/s8ODlDI+pzsbPFXL7M3vLOjOnlret8d/XS8PdvrVzg\ntcYK91WnOVSp8cjUHI8Ai5UK//L0i8NgAWAKyenWOk/P7uVMc4M9pSpeEsGgbeIYkm4SUEld7h+f\n5j/c9yAXOltc7W9xqn2df3v1RZb7bYTQ1IMukUooOhZKKSqOSyPq4dqCWKXEWgycMLIy1ECtnJxp\nULJtpnMlXMOibNrU4x6R8kl1SpQq/H6f//nMH/K5mY9gC7CEJHPiENhSk+oALw1IdJQFEGlStUpo\nnRCbHik5bClQ2iZn5HAMm17SRQrJVrhOzZ35ID7qEe4U7o14MQoYdxpzuTngcV5qvEAzajDtTvPo\n2GPIe8gYJ9WZj3aoEv7y2klCFVNxXRKVMuG6LBQrQ2a60pqvXDrBZtBDa80rjWucaa/xXx39OONO\nZsl6on7DV6MVejy/eZUgjdlVqDKbL/MfH/4YR6rT3D82TdXJsep30TqzWT1QmSBWKc3Qx0tCfrh5\niXYcIE2NH/kkymAlaNFJPR6pPUakU57fukSqFdf6TZb7LRqhx6RbpGw7tCJFzS0ihKIRdUmJCBTk\nDIsgSZAi88XQOitFmRIKlsQxBYZMqNh5Jt0Cp7sXSbUiHRguaSHoJT7Hm6e44i2TEFG0bIJUEaYR\nmhTXsJFCkDdcAuVxtnsWCWhicqaDow2CtAck9JMOgRqnTIVIRbf5lEa4VzD03LoHMAoYdwH9pD/8\n/0hFw7LEhwUnGku82rxGkMbsLU7y9NRB8mZWJz++tcTL9SVCldAMfSxhUjBt+kmEbZi0Yo9m6GFI\neGnjKn9x7SQvbGaTTkppCpaNn8Scbq3yWwc+yjNzB4YaUAAv169nGQKZrtT1fouvXDrBbz/ys0gh\neHpuDznLJFYpedNCCIElDSq2yyuNa9Sj7L0N0yRTl0XhmBIhFV9bOYWXBkOxPy+JssklwyRKExKd\nEuuYIA3JWQYpWQnKEBDpCCE1rjCRQKhSLJF1MAwpqdouedMm1tno7XaBKBMQ0RhIYhWxHmzipyGu\nlETKR6kUUwgQBpkAeoJtmPSSHql2KJp5Jp1JekkDpVICUtKBN0cn3mTcHqfm3n4UeoR7CKOAMcLt\nsN2zmM/NM5ub5+Xmj3iu/sNhT+Nu41x7jR9s3vCSvtDdwEsifnn3o1zsbPLc5o3S0YbfpZ9E3FeZ\n5Xq/RTsK6MQBXurz/OYljtev044yjaZ+kjXB62GPounSjny+vnKWdhJwsDLJifoKfhLTGzTLc6Y1\n3HSXvRbn2uucaa+x4feohz1qbmlYt39gbJpTrRUu9bYYd/K0o4BQZeq0qYBu7DEmC2wFPb619gb7\nSzUMISmYNu3Ip2y55E2LMIhwDJO8bbIRtPGTaMCLUQgESisMkWBKk6LtkKqUQEWMOwaJ9vDSmAO5\nBVKtOFya52T7MolOkCLz/w61j53mKZkORdOmn/gEhExYJfKWhSUlQRrAwGZWCoFruEw5NUyhWQ2u\nkjPyRCqgYOSxpEXNmRw2vb0ks7rNm289UDDChwiaEdN7hFvhJX3Odc8wn5sflqEEguPNl7jSv8LB\n0sG7fYqc7azesrbit2hHHhe6O132yrZLM/KJVML+8iS9OORcZ535YoXznU28JMueIpWVrxQaoTUy\nFUwYeXpxwJrX4ampvfhJzKnmGpZhYGpJ1b4xMqq15hsrZ4e/T+fzpCg+MrlISsyp9nV6ccRW0CVI\nUxxT4qYmfhqj0PQG2U/RdKlYWbAadwrM5Mo0I48oTYlUTMXOcahcI9EJm0EbREa422bRGUKgURQs\nScl0MKQgVOCakpJZQArBZlinbM4SKh8pE0wShFBD86Vu2qEkCrhGgVRHJBpSQqSQ2NLBkTZlq0g9\n3GBPYYEJu4oUkoJZYN6do+aOI8mECG1pUzALRKnHuc636SUZC79o1jhcfgbbeHNPkxE+RLg34sUo\nYNxJ5M0CT09+krJVHpag5nJz5I1PUrE+3FeFgkxY72ZM50q0o2DoKR6omL3FTFk3Vmkm0jfgKGQO\nq5kMuGVIQhWTG9iJduOAQ9UJHp6cpebm+dbqBXpxSF8lmNLgkYm5Hc9rGQYWsKdU4a+WX0dpTd60\nmHALXOxsEaoEW5oEaYxrmEgh8JKIw+UppnNlam6ZRtgHCY9PLlI0LV5qXGY2V6EwkDmJdcyJ5jVS\nnZAMnARtKbENhSJES4OKXcYblLK234NYJ5zpnkOTYskb4oQ3u6r5ymc9iDOhQsPEFAZ5w8UQkoX8\nAscq99GKtuglNxR+C0aJimkPnQ7NwVe35sxxuf/iMFgA9JJNLvdf4nD5mff+wY9wRzDqYYxwW1Tt\nWwND1f5w8CwA7qvMsuztlDWfy1Up2znuH5vjbGd9yPiWQvDJmf18auYQvSREac2/u34KgKqdp2F5\n+APyXM40CVWMJSWONEmUYi5foRX1+ebameFz7SlO8tDEDN9fvwRCMV8s00p71IzyLbawa0GHZND/\n8NMILWJcU+KHKcKQHBufoRcHpMCYk2e+UMU2TH5594MorXlu8w2ONy4SaodUxyx5mxwszWJKg/sq\n88Q64bpXJ1YJphAYIkZJKJkuk05lIDcOs+449mAstu43SAgxBSQ6zLILxMA7I1OkzUh8AUoLiqbL\nuFNmPjdDzanxS/O/CECiEi70zrMZrmdjtKagG9fZDNdxjSKGMFnI72fG3c3V3vdu+Rxb0fX36S9i\nhBFuYBQwRtiBQ+UZgjTmROMafhqxp1jj6amsVDaTK/OFhWMcr1+lEwfsLozzRG0vedNmihJaa/aU\nJrjSrTOXL+MnWU/gSq+OYQhm3SKKjLm8qzDGuJunGe+UVD/TWmXZb1J2TbSWbEUtrvkRNafCfeW5\noV1pyXI5UJrixa0raK257jUAzVyhyISTeW2ULJv95RrX+02mciWqdo7ZfJHvbJzmjc4K5zorWSYk\nBFNOlc2wz6rfZFdhkqlcmd9e+BJfWfo+xxvnCVKflARbZiq6XhqQN1ykkBwuZ/IkLzdPIwTYwiTR\nEds8DbHtjjRghdtSY8osa0EkWQDV8Q4vC1OaHCnfx361jx81vk49zJr5ZbOAbbg8WHmGXrLCNe8V\nlE5v4WFYcsQCv5cwyjBGuGfx4NguHhy7vRjaYnGcxeL4bW8TQvCLCw9wqbvFut/h5+eP0ksCvnLl\nR6z57R2b2q/seZC9pUm+uXp2xzF6SciVfp2K5dJJslFZgHbc43xvlQPFGWZyFR6dWGAjaDGbK7Lc\n79BLMuc5S5rcPznHsteiFfkcq5b57OwRHhyf59+tvMKl/hrXvTorXoN27DFuF1EatqI2D1R2YRkW\nX1x4jHE7z9dWX2TCdThcqbHi1+klAZaQeGlEO25Ts4s8MfkQY3aRzbBFmEaULBdBQiMKsIRFrENA\nIMXAzQ+NKwFhIIVC6Zh+2qOgChws3upuuBZcIUhvTNUJIfCTJq82/xh7IGXeT7cAQdGcHN5vLnf/\nW37OI3yIMGp6j/Bhx5nOVc60rxCpmF35aR4bP4xjvDc/BSkEB8o1DpQzYcFXGldZLI0z5uSph32k\nENTcIl7q8/2NM7zeXqJqFZgbuAoaQmAIOdCCuqE3VbIcHhibI1UJS/4K33/jNQqGw95ijbydY09x\ngihNqLklLGlwqDxN0XL4jb1PEqmEZ1df5VR7ibKVp5+Ewz5LqBIcaZEolUmhl2eZdsuc7SzRiLIe\nQqQSLGnQS/okKsUQElua9NM+FSvH5+eeIEgjDBFzunMRP/XJGXYm7yEcFguTtKIOsYpBxEQqwBAC\nWzKwkE15uPLggKOzE+FNwWIbvWQNzBy2zAJ3yZwkVB5laxYpJFPuASacxff0OY5wBzHSkhrhw44L\n3WVeqt/oHVzsLeOnIZ+deex9fZ7dhQme27xI2XYpD4yV6mGXq/1NipZL3rDYDNvEKmVfcZqFwjhe\nEnK1Xx9+iWzDoOaWWPbqNKNOJteBoJ8EXO5tcqQyx5O1fVzobg77K0LAk7UD+GnEny+/wKvNK1zv\nZ/LsruFgS4uC6Qw5GVII8qbDw2N7gCyj2YZr2Fztd9E6xZYSjSBFMeWWSImH9/mF2U+wEmwQB1Fm\nAoWgZEEnWUNKmLBy9NKQslki1iGxDrGFQApNN1nm5cZ3GLMnmcntIWdkpMYxe4Zr3rnhuSTKw0/W\nyckZlE6RItMdc2Se/aWP4Roji9Z7EaOS1Agfalzo3doUXfG36CcBBdO9zSPeHSacIk/W9vPi1mVS\nrTCEpGQ55MysF3GwPE097NFLQh4Z38Uj47s53V7hGyuneKW5hEBQMh0QKed7qxmJTiWUzBx5w6Wf\nBERpAmh+dfFxznXW0FpzqDxDzS3xQv0c17wt6mF7mLH0k4Axu0zJyrGQn8BPIo5U5vnC/Eeo2tlG\nPelUgUw0sWS6DJoQuIaFISRly8WS2/KD26+1yj869Pf///buPEbO+jzg+Pd533fu2dnbu95d3zam\nDvgAgyEgAgRSUpGjaYkSRa2SVOoZ9VCltAipUitVPSJVqpRIFUrSplWUpGoThbQkxCgHEQkFQsDB\nGIwXn+v1Xt57znfep3/MsN61F3v2fD27z0daaec37/vO83o988zv5sjYG7w8dpSB/GlGioMoEHUi\nJL14dTXfGEKaqdI4MTdKSzTNuexx+nO9bEvu4nT2GAea7qUx2kZrrIue5G76csfJlgaZ9s8Sd2NM\n+4PkyqO0x3fiSYyokyTqpJbt72ZWmTVJmevZO2/NtPz/cQ+0bGF3ZiMXC1M0x1I8df4VhgqTANUm\nqgbaaWBfyyYSXpRbW7fSnWxm99AJXh3rAwk4mx0k4UaIuR6DuVEuFsfRSEDCTeCIQ8xxOTF5luly\njo5Y08w8jrHiNBdyF4k5l2akiwhx1+P+zpvoSbSyJdVOV3Juv8zWVCcnp/rpyw0RdSK0xxrJROIo\nAXHXI+p4gLAjPXcbW89xuaVlD3ubbuA/Tv87uWACT1xiTmVWesJN0JXsJuuPE3MdmrwMhfJwpWFK\ny+SDHAkR3pp+lQPRewHY1XALXYnt/GLkGzRHd6MaMFToxQ+KTJYGaIltY2v69pnahqkvyWSU/fvr\nownREsY6tT3VxVB+bE5ZR7yFlLcyo2uSXpSkV/lQ3tnQOZMw3rYx0UzKu7RMd2eikQ9vvpX3d+/l\nyfMvkY54FAOfV8dOEohPKSgz7k/iukLEcTiVPY+vlRFX57JD9OWGeX/X7WyINVIKfESEpmiSlBcj\nUGVf82Ye2fzud4zXFYcHOm+lPzfCWHGK9niafDlPf36Y8eIUjgh3te1nT2b7vOd7jkd3oouR4hCB\nXlr6JObG2JN5F5749OVOEajP6emBWa9b+dCfnjUHA6iMrnKr/z4CnfHd5MoTRN00B5o/YpP06lg2\nW+TlX5y+9oELJCIPAf8MuMAXVfXvL3v+k8DngL5q0edV9YtXu6YljHVqd2YzhaDEsYlTFAOfTckN\nHGrZsyqvfXPTJnLlIkfH+/ADn02pNu7ZcOO8x8bcCDsaOhkpTFAKKkuqN3gJioFPe7yRLal24p6D\nr6U5513Ij3J84hxDhWEKmmO6VCTlJYm5UTYl29jZsLGmWDcmWtmYaGVLqoNfjL1Owo2TbIzzrswO\nNqeufo2bG/cyUBigP1dZXFEQehKbuCF9A76WuJA/A+oScWKUggIpNz2zzEdj5NKy9tOlQYbzx5n2\nB4k6aSJOEhGHpNdEe3yXJYu6t/y93iLiAl8AHgTOAS+IyBOq+tplh35DVT9T63UtYaxje5t2sLdp\nB6rKSHGUI+NHKQU+3clOtiY3rdgeCyLCobad3Na6vbpL39WbUm5o2MjR8TNcyF4k7kaIuxHSXoIb\nGjaCCOOlqTm1E6jMKv/R0M9JulFua97O0YmzFAKfHekONiXbOdC8ndcmTjBaHKcl2siO9BaiV1nL\nK+nFuatt/4Luc2Oiiw93fYQTU28yWhylJ9nNtuR2XMfDkRS3tdzH6ek3iTpRLpb6ybiVnQZjbpId\n6b0AXCz0cmrqGVQVD5eRwnGaotuIu43EnBRdiX0Lislcn1ag0/t24ISqvgUgIl8HPgRcnjAWJNSE\nISKfAz4AFIFe4FOqOnb1s8xyGywM85Oh56srq0J/foCJ0hT7mhZW45goTTGQHyHtJemMt10z4Tji\n4NSQk+JulA91387Lo28x6k+SdKO0xTKVoVDAjvRGLuQvzjlnqpyjodqxnvBi3Nqygyk/z850D/e2\nH+DpwWeZKFWaxc5l+zmTPc8DHXfPLMu+VH5QYqw0TNSJc6D5FvygxJtTP+enI99CEDri29jZcAt7\nmw4BUAwKDBf6cMWlLdaNK5W35vnsSzMjv5JeM1EniQLb03fTHNuCK+EvWGmWaPEVjDYReXHW48dV\n9fHq793A7I3CzwGH5rnGb4jIPcBx4M9U9aqbi4ddwzgMPKqqvoj8A/Ao8Bchx7TuvDHZO5Ms3nZi\n6hR7MrtqXkH32EQvr4y9MfPh1hhp4K62AzRGG5YlxqQX493tv0ImmuD5keMz5S3RNPdt2MfLY728\nPnEWRYk4HgeadnA62zdzXGW0VaIyIinfP5Ms3jZWnKAvd4HNySvnQizUcKGfV8efo1Tdp6I11knc\niTCQv9ROfT53AkdcdjXcAkDUidGVmNsfoqoUynPj9JwYrni0xetnwy1zdZX9MBaVMYZVdSnj4L8D\nfE1VCyLye8BXgPuvdkKoCUNVvz/r4XPAb4YVy3qWK+evKAu0soJrLQkj6+d5Zew4qkpZy/TlBpj0\np3lr+gw3Zrbz7tYDJJepM/2mxq30JNroy42QcKNM+mN8b+DHBFpmZ0M7W5Kb6Ei0IMCFviEK5Uub\nC4nA1lQXF/ID81476+eWHF+gZY6OPz+TLACG8/1ky8Nz+iUABvKnZhJG5fWHuZD7JYXyBA2RTjoT\n+0lHOpgqzY03HbHd9dac5W+S6gNmL9fQw6XO7cpLqo7MevhF4B+vddHrZ9ce+DTw3Xd6UkR+V0Re\nFJEXh4aG3ukwswid8Q1XlGUiDaS82jpTLxbH0epIoIH8CBOlyu562XKe4cIoz1/85bLEOZgf4WfD\nP+eX46+R9Bxy5Ulen+ilUC5QCnz6cv2cz58n6nhEHI/7NxykPVZZ7LEhkuSutn20xhrZEG+b9/od\n71C+EFP+OMXgygScm2fG9uxNs/LlcY6PP8lo4SRZf4SB3FFOTDxFT/LQnHWhom6KntTtS47TXGd0\nET9X9wKwS0S2iUgU+BjwxOwDRGT2qI0PAse4hhWvYYjI08B8X4keU9VvV495DPCBr77Tdaptc48D\nHDx4sD5mudSJPZldjJcmGMhXEnHSTXB7y4Gaz89EUogIqsqkP2uGdHWto4H8EH5Qvmbn9tWczw3w\n7PALM/Ob+nODjJemyETSc447kz3PwZabccWlNdbIr268k0CDOR/O7bEWoaANYgAACtlJREFUbszs\nrDTFqSLisCezk+ZoY83x5MrTjBUHSbgNNEUvJZqYk0DEmUmgUOnkb4/NXZurFGSJO0rvxA9oim0h\n549QVn/OMdP+MAE+NzU/wkSpr9KsFum2+RZr0TJP3Ks2838GeIrKsNovq+pREfkb4EVVfQL4YxH5\nIJXP3ovAJ6913RVPGKr6wNWer44Ffhh4r2qdTHdcYyJOhHva72CiNEkp8GmONi5oy9hMJM2O9CZO\nTJ7BFZcSPlEnQkt1KXfP8Wb2i1isNyZ6r3hPDRVGSFc3Lrqa+e5lX9ON7ExvZrw0SWMkc8X8k8H8\neU5OH6cQ5NkQ28jO9B68avPc6enXOTH1ysybvDW2kb1Nd+OIS8xN0JPYztnspV0LPcfjlqYHGSme\n5UL+JMXyFBqM4iGMFk8zWjw9Z8b4bH6QxxGPpmh9TOwyi7BCO+6p6pPAk5eV/dWs3x+l0m9cs7BH\nST0EfBZ4j6pmw4zFVJqhFutg8010JTaQiaQ5OX2O5mjDzCS0XektS96zPDdPM08mkqZMGWfWf+PN\nya6Z172WlJect9ltpDDIS2M/nXkTn/InmfTHua3lHvLlaXqnjsx5g48U+unPnaI7WVltdnfDLWQi\nrQwXzhNz4vQkd5LyMjRGW9ie3sebE4cZL86dN1IIJolKHJkVu+tEyESW3glvrn+2llRtPg/EgMPV\nIZjPqervhxuSWQwRoTvRQXeig9PTffROnaGsAVtS3exKL/3b8cb4Bt4snZpTdkN6G52JDfROnSEg\nYHOyi/0LHAo8nzPZ3iu+8Y0UBpj2J5nyR+c0N71tvDRMN5WEISJ0JbbSldg67/WL5WkCLVMoD1PW\nPBEnTdRpoT1xAxcLbxGoT9RNsjl1N66ztNWDTT1QW0uqFqpqYwPXoC2pbrakupf1mu9q3M14aZLB\nfGVgRzqS5FDrfhqjGfY2zT9LfLEunzV+qdwn6c5fC0t6tdfO0pF2+rM/wQ8qo7LyDJKO5Nmc+hTd\nydsq/RtuI7JMc0KMWS5h1zCMqUnUiXDvhjsZL03iB2Vaoo0rNhO9M76JkcLcoaxJL03Ga0JE6Ihv\nZiB/Zua5hJemK3Hl5kfvJO4k53RcuxIh7qbJ+oOkIh14TuwqZ5s1yWoYxiy/xiX0s9SqJ7GVbHmS\nM9O9lNUnE2nm5sbbZhLUnsY7aI93M1ocIuGm6UpsI7KAD3lfp2mL7aIUZAm0TNRNITgUgjFSdKzU\nbZnrlQJXtnJelyxhGHMZEWF3w152pvdQCkrE3bkjqBxx6IhvoSO+uL6ZlNfJCMeIOJc63EWElGcT\n8tYrqZMt96yR1Jh34Ip3RbJYDo3R7WRmDZMVETbEDxBza58HYtYY1YX/hMBqGMbUSFWZKJ0j518k\n4bWSiXQvqh9FxGFrw/uYLg1UmqG8TksW61giFWPvwW0LP/Fflz+Wa7GEYUwNVJXeyacZL15azLM5\ntpVt6fsW3fmeinRYn4UhN13gyAsnww6jJpYwjKnBeOnsnGQBMFo4RVvsPJno8g4hni1XeIF88SVU\n80Qju0jG78ORldkV0YSoTkZJWR+GMTXI+iPzl5fnL18O+eIRsvkfEwSTqJYoFF9jKvvktU809Wf5\nFx9cEVbDMKYGb+9HfkW52zpv+XIolF69oqzknyQIpnCc9DxnmLqkutj9MFad1TCMqUFjZBON0Z45\nZU3RzTSs6FpP9fEhYpaBjZIyZu0QcdjR8CDjpbPk/BGSXhuZSM+KzTYHiEVuwvf755RFvK1Wu1iL\n6uS7gSUMY2okIjRFN9MU3bwqrxeP7kM1X+30LhDxdpGK37cqr21WWZ00SVnCMOY6logdIhE7FHYY\nZqVZwjDGGHNNK7SB0kqwhGGMMaGy/TCMMcbUyhKGMcaYmljCMMYYU5P6yBeWMIwxJlTW6W2MMaZ2\n9ZEwbGkQY1aJqqLFV1AtzSoLqmXlECMz4VrEsiC2NIgxa1wwAMVnoNyLxj8AuFB4Gi29jkgSIrvC\njtCEIJmOs/fORfztv7n8sVyLJQxjVom4nWjsQSgchtx3QOKofwKJ3YlYsli3slN5jjx7POwwamIJ\nw5hVJJEbURTNH648jh5EoreFHJUJX330YVjCMGYVqQZQnrVzX3AB1RIikfCCMuGqo1FS1ultzCpR\nDS71WcTuROLvg3If5L8zpyPcrD8a6IJ/wmA1DGNWSzAE/vFKsqg2QylU+jTKp8HbGWp4Jiy2lpQx\n5jLidqDJTyBO86WyyI2o2zGnzKxDljCMMZebLzFYsljn6qgPwxKGMcaEzRKGMcaYmljCMMYYc22K\nWsIwxhhTE0sYxhhjrkmBkOZVLJQlDGOMCZvVMIwxxtTC+jCMMcbUwGZ6G2OMqYVN3DPGGFOLREOC\nfe/Zs/ATf7TsoVyT1Evb2WwiMgScXoZLtQHDy3CdsK2V+wC7l+uV3cuVtqhq+1IvIiLfoxLTQg2r\n6kNLff2FqMuEsVxE5EVVPRh2HEu1Vu4D7F6uV3YvBmw/DGOMMTWyhGGMMaYm6z1hPB52AMtkrdwH\n2L1cr+xezPruwzDGGFO79V7DMMYYUyNLGMYYY2qyrhOGiHxORF4XkSMi8i0RaQo7psUSkUdE5KiI\nBCJSl0MGReQhEXlDRE6IyF+GHc9iiciXRWRQRF4NO5alEpFNIvJDEXmt+v/rT8KOabFEJC4iz4vI\nK9V7+euwY6o36zphAIeBm1R1L3AceDTkeJbiVeAjwDNhB7IYIuICXwDeD+wBPi4ii5j+el34N2BV\nJ1StIB/4c1XdA9wB/FEd/10KwP2qug/YDzwkIneEHFNdWdcJQ1W/r6p+9eFzQE+Y8SyFqh5T1TfC\njmMJbgdOqOpbqloEvg58KOSYFkVVnwEuhh3HclDVflV9qfr7JHAM6A43qsXRiqnqw0j1x0b9LMC6\nThiX+TTw3bCDWMe6gbOzHp+jTj+Y1ioR2QocAP4v3EgWT0RcEXkZGAQOq2rd3ksY1vzigyLyNNA5\nz1OPqeq3q8c8RqXq/dXVjG2harkXY1aCiKSB/wb+VFUnwo5nsVS1DOyv9ld+S0RuUtW672taLWs+\nYajqA1d7XkQ+CTwMvFev80kp17qXOtcHbJr1uKdaZkImIhEqyeKrqvrNsONZDqo6JiI/pNLXZAmj\nRuu6SUpEHgI+C3xQVbNhx7POvQDsEpFtIhIFPgY8EXJM656ICPAl4Jiq/lPY8SyFiLS/PRJSRBLA\ng8Dr4UZVX9Z1wgA+DzQAh0XkZRH5l7ADWiwR+XUROQfcCfyviDwVdkwLUR188BngKSodq/+pqkfD\njWpxRORrwM+A3SJyTkR+J+yYluAu4LeA+6vvkZdF5NfCDmqRNgI/FJEjVL6gHFbV/wk5prpiS4MY\nY4ypyXqvYRhjjKmRJQxjjDE1sYRhjDGmJpYwjDHG1MQShjHGmJpYwjDGGFMTSxjGGGNqYgnDrAsi\n8oNZE8/yIvLRsGMypt7YxD2zrojIHwD3AR+vLkRnjKmR1TDMuiEiv01lg6ZPAFtE5Esi8l8hh2VM\n3bCEYdYFEXmESqL4qKqWqhs11fMaT8asujW/vLkxIvIw8IfAw6qaDzseY+qV1TDMevAVKvtrPFvt\n9LaahTGLYJ3eZl0SkVbgb6nsifBFVf27kEMy5rpnCcMYY0xNrEnKGGNMTSxhGGOMqYklDGOMMTWx\nhGGMMaYmljCMMcbUxBKGMcaYmljCMMYYUxNLGMYYY2ry/0FMelBpDOTPAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 468x360 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib as mpl\n",
    "## discriminator z choice on latent - v3\n",
    "fig_mz, ax = plt.subplots(nrows=1, ncols=1, figsize=(6.5, 5))\n",
    "\n",
    "colors = score#zmar(score)\n",
    "norm = mpl.colors.Normalize(vmin=min(colors), vmax=max(colors))\n",
    "\n",
    "im = ax.scatter(imz[idx_inliers, 0], imz[idx_inliers, 1], c=colors[idx_inliers],\n",
    "        edgecolor='none', alpha=0.5, label=\"Normal samples\", marker='o', norm=norm)\n",
    "\n",
    "im = ax.scatter(imz[idx_outliers, 0], imz[idx_outliers, 1], c=colors[idx_outliers],\n",
    "        edgecolor='none', alpha=0.5, label=\"Anomalous samples\", marker='x', norm=norm)\n",
    "#ax.set_xlim(-3, 3); ax.set_ylim(-3.5, 3.5)\n",
    "ax.set_xlabel('$z_1$'); ax.set_ylabel('$z_2$')\n",
    "fig_mz.colorbar(im)\n",
    "ax.axis('on')\n",
    "plt.axis('equal')\n",
    "ax.set_title(\"Discriminator output in latent space\")\n",
    "plt.savefig(result_dir + 'inferred_{}_mz_disc.png'.format(DATASET), transparent=True, bbox_inches='tight')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 137,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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wGPDgwQMUCgVYLBY4nU40Gg20221EIhG022243W7IsoxYLAa/39+znFxbW+PvWy6XEY/H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\nELoeETJBELoeETJBELqe/w9D7A/cWajJjAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 324x324 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "## discriminator z choice on latent - v2\n",
    "fig_mz, ax = plt.subplots(nrows=1, ncols=1, figsize=(4.5, 4.5))\n",
    "\n",
    "ax.scatter(imz[idx_inliers][:, 0], imz[idx_inliers][:, 1], c='grey',\n",
    "        edgecolor='none', alpha=0.5)\n",
    "ax.scatter(imz[idx_outliers][:, 0], imz[idx_outliers][:, 1], c='r',\n",
    "        edgecolor='none', alpha=0.5, marker='x')\n",
    "#ax.set_xlim(-3, 3); ax.set_ylim(-3.5, 3.5)\n",
    "ax.set_xlabel('$z_1$'); ax.set_ylabel('$z_2$')\n",
    "ax.axis('on')\n",
    "plt.savefig(result_dir + 'inferred_{}_mz.png'.format(DATASET), transparent=True, bbox_inches='tight')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 138,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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tpxdqHJpcZv9wDk0I7t+e5y07X/9GMTcCkSG7SfD8gM8fmmYhTMA8Plvl5FyV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\nSUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 324x324 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "##  reconstructed z\n",
    "fig_pz, ax = plt.subplots(nrows=1, ncols=1, figsize=(4.5, 4.5))\n",
    "\n",
    "ax.scatter(rmz[:, 0], rmz[:, 1],\n",
    "           edgecolor='none', alpha=0.5)\n",
    "#ax.set_xlim(-3, 3); ax.set_ylim(-3.5, 3.5)\n",
    "ax.set_xlabel('$z_1$'); ax.set_ylabel('$z_2$')\n",
    "ax.axis('on')\n",
    "ax.set_title('Reconstructed latent space')\n",
    "plt.savefig(result_dir + 'reconstruct_{}_mz.png'.format(DATASET), transparent=True, bbox_inches='tight')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 139,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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94ufZw721dLl4yMdYyuvstQ6Vom4bny4I+rwYspBPJ2DoFE2vKU6yYG6+QXdB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\n",
      "text/plain": [
       "<Figure size 324x324 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "## inferred marginal x\n",
    "fig_pz, ax = plt.subplots(nrows=1, ncols=1, figsize=(4.5, 4.5))\n",
    "ax.scatter(imx[:, 0], imx[:, 1],\n",
    "        edgecolor='none', alpha=0.5)\n",
    "#ax.set_xlim(-3, 3); ax.set_ylim(-3.5, 3.5)\n",
    "ax.set_xlabel('$x_1$'); ax.set_ylabel('$x_2$')\n",
    "ax.axis('on')\n",
    "ax.set_title(\"Inferred marginal x\")\n",
    "plt.savefig(result_dir + 'inferred_{}_mx.png'.format(DATASET), transparent=True, bbox_inches='tight')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 140,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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/+zz11FPjrv3Sl77E29/+dh5//HHWr1/PH//4R1566aUTynKs7GPva+z3cKxR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\n+R4tFRcC3wAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 720x324 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "##  reconstructed x\n",
    "fig_mx, ax = plt.subplots(nrows=1, ncols=2, figsize=(10, 4.5))\n",
    "ax[0].scatter(X_np_data_test[idx_inliers, 0], X_np_data_test[idx_inliers, 1], c=cm.tab20(X_targets_test[idx_inliers].astype(float)/input_dim/3.0),\n",
    "           edgecolor='none', alpha=0.5, label=\"Normal samples\")\n",
    "ax[0].scatter(X_np_data_test[idx_outliers, 0], X_np_data_test[idx_outliers, 1], c=cm.tab20(X_targets_test[idx_outliers].astype(float)/input_dim/3.0),\n",
    "           edgecolor='none', alpha=0.5, label=\"Anomalous samples\", marker='x')\n",
    "ax[0].set_xlabel('$x_1$'); ax[0].set_ylabel('$x_2$')\n",
    "ax[0].axis('on')\n",
    "ax[0].set_xlim(-3, 3); ax[0].set_ylim(-3, 3)\n",
    "ax[0].legend()\n",
    "ax[0].set_title(\"Input x\")\n",
    "\n",
    "ax[1].scatter(rmx[idx_inliers, 0], rmx[idx_inliers, 1], c=cm.tab20(X_targets_test[idx_inliers].astype(float)/input_dim/3.0),\n",
    "           edgecolor='none', alpha=0.5, label=\"Normal samples\")\n",
    "ax[1].scatter(rmx[idx_outliers, 0], rmx[idx_outliers, 1], c=cm.tab20(X_targets_test[idx_outliers].astype(float)/input_dim/3.0),\n",
    "           edgecolor='none', alpha=0.5, label=\"Anomalous samples\", marker='x')\n",
    "ax[1].set_xlim(-3, 3); ax[1].set_ylim(-3, 3)\n",
    "ax[1].set_xlabel('$x_1$'); ax[1].set_ylabel('$x_2$')\n",
    "ax[1].axis('on')\n",
    "ax[1].legend()\n",
    "ax[1].set_title(\"Reconstructed x\")\n",
    "plt.savefig(result_dir + 'reconstruct_{}_mx.png'.format(DATASET), transparent=True, bbox_inches='tight')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 141,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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RSikVFHoPRymlVFBowlFKKRUU2qSmlFIqKLTTgFJKqaDQGo5SSqmg0Hs4Siml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\n",
      "text/plain": [
       "<Figure size 324x324 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "## learning curves\n",
    "fig_curve, ax = plt.subplots(nrows=1, ncols=1, figsize=(4.5, 4.5))\n",
    "ax.plot(FD, label=\"Discriminator\")\n",
    "ax.plot(np.array(FG)[:,0], label=\"Generator\")\n",
    "ax.plot(np.array(FG)[:,1], label=\"Reconstruction x\")\n",
    "ax.plot(np.array(FG)[:,2], label=\"Reconstruction Z\")\n",
    "plt.xlabel('Iteration')\n",
    "plt.xlabel('Loss')\n",
    "ax.legend(bbox_to_anchor=(1.05, 1), loc=2, borderaxespad=0.)\n",
    "ax.axis('on')\n",
    "ax.set_title(\"Learning curves {}\".format(DATASET))\n",
    "plt.savefig(result_dir + 'learning_curves_{}.png'.format(DATASET), bbox_inches='tight')\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
